Search a number
-
+
102042434130 = 235713101370081
BaseRepresentation
bin101111100001000110…
…0111111101001010010
3100202101111211202011020
41133002030333221102
53132440330343010
6114513323300310
710241464243650
oct1370214775122
9322344752136
10102042434130
113a30432609a
121793997a696
1398129c3550
144d20403dd0
1529c36d0470
hex17c233fa52

102042434130 has 128 divisors (see below), whose sum is σ = 304402807296. Its totient is φ = 21316608000.

The previous prime is 102042434107. The next prime is 102042434167. The reversal of 102042434130 is 31434240201.

It is a self number, because there is not a number n which added to its sum of digits gives 102042434130.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 90690 + ... + 460770.

It is an arithmetic number, because the mean of its divisors is an integer number (2378146932).

Almost surely, 2102042434130 is an apocalyptic number.

102042434130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102042434130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152201403648).

102042434130 is an abundant number, since it is smaller than the sum of its proper divisors (202360373166).

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

102042434130 is a wasteful number, since it uses less digits than its factorization.

102042434130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370212.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 102042434130 its reverse (31434240201), we get a palindrome (133476674331).

The spelling of 102042434130 in words is "one hundred two billion, forty-two million, four hundred thirty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 78 91 101 105 130 182 195 202 210 273 303 390 455 505 546 606 707 910 1010 1313 1365 1414 1515 2121 2626 2730 3030 3535 3939 4242 6565 7070 7878 9191 10605 13130 18382 19695 21210 27573 39390 45955 55146 91910 137865 275730 370081 740162 1110243 1850405 2220486 2590567 3700810 4811053 5181134 5551215 7771701 9622106 11102430 12952835 14433159 15543402 24055265 25905670 28866318 33677371 37378181 38858505 48110530 67354742 72165795 74756362 77717010 101032113 112134543 144331590 168386855 186890905 202064226 224269086 261647267 336773710 373781810 485916353 505160565 523294534 560672715 784941801 971832706 1010321130 1121345430 1308236335 1457749059 1569883602 2429581765 2616472670 2915498118 3401414471 3924709005 4859163530 6802828942 7288745295 7849418010 10204243413 14577490590 17007072355 20408486826 34014144710 51021217065 102042434130