Search a number
-
+
102100010210160 = 24352394271416761
BaseRepresentation
bin10111001101110000000010…
…110101110001001101110000
3111101111122222021000110012120
4113031300002311301031300
5101340301310103211120
61001052032553354240
730335324301332124
oct2715600265611560
9441448867013176
10102100010210160
112a59440a027106
12b54b7baa08980
1344c7cb3353161
141b2d949c1d584
15bc0cc7852140
hex5cdc02d71370

102100010210160 has 160 divisors (see below), whose sum is σ = 317909521059840. Its totient is φ = 27106337126400.

The previous prime is 102100010210101. The next prime is 102100010210161. The reversal of 102100010210160 is 61012010001201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102100010210161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 244776180 + ... + 245192940.

It is an arithmetic number, because the mean of its divisors is an integer number (1986934506624).

Almost surely, 2102100010210160 is an apocalyptic number.

102100010210160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102100010210160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158954760529920).

102100010210160 is an abundant number, since it is smaller than the sum of its proper divisors (215809510849680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102100010210160 is a wasteful number, since it uses less digits than its factorization.

102100010210160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421287 (or 421281 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 102100010210160 its reverse (61012010001201), we get a palindrome (163112020211361).

The spelling of 102100010210160 in words is "one hundred two trillion, one hundred billion, ten million, two hundred ten thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 239 240 478 717 956 1195 1434 1912 2390 2868 3585 3824 4271 4780 5736 7170 8542 9560 11472 12813 14340 17084 19120 21355 25626 28680 34168 42710 51252 57360 64065 68336 85420 102504 128130 170840 205008 256260 341680 416761 512520 833522 1020769 1025040 1250283 1667044 2041538 2083805 2500566 3062307 3334088 4083076 4167610 5001132 5103845 6124614 6251415 6668176 8166152 8335220 10002264 10207690 12249228 12502830 15311535 16332304 16670440 20004528 20415380 24498456 25005660 30623070 33340880 40830760 48996912 50011320 61246140 81661520 99605879 100022640 122492280 199211758 244984560 298817637 398423516 498029395 597635274 796847032 996058790 1195270548 1494088185 1593694064 1779986231 1992117580 2390541096 2988176370 3559972462 3984235160 4781082192 5339958693 5976352740 7119944924 7968470320 8899931155 10679917386 11952705480 14239889848 17799862310 21359834772 23905410960 26699793465 28479779696 35599724620 42719669544 53399586930 71199449240 85439339088 106799173860 142398898480 213598347720 425416709209 427196695440 850833418418 1276250127627 1701666836836 2127083546045 2552500255254 3403333673672 4254167092090 5105000510508 6381250638135 6806667347344 8508334184180 10210001021016 12762501276270 17016668368360 20420002042032 25525002552540 34033336736720 51050005105080 102100010210160