Search a number
-
+
102012020201120 = 25514941927102059
BaseRepresentation
bin10111001100011110000110…
…001110100001011010100000
3111101012020212002021212022212
4113030132012032201122200
5101332331104132413440
61000543401454221252
730326060646521411
oct2714360616413240
9441166762255285
10102012020201120
112a560066a56a77
12b5367431b4828
1344bc8cca95953
141b2959dc5b808
15bbd877bad465
hex5cc7863a16a0

102012020201120 has 96 divisors (see below), whose sum is σ = 242629034256000. Its totient is φ = 40529586482176.

The previous prime is 102012020201083. The next prime is 102012020201141. The reversal of 102012020201120 is 21102020210201.

It is a junction number, because it is equal to n+sod(n) for n = 102012020201095 and 102012020201104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 999488651 + ... + 999590709.

It is an arithmetic number, because the mean of its divisors is an integer number (2527385773500).

Almost surely, 2102012020201120 is an apocalyptic number.

102012020201120 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 102012020201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121314517128000).

102012020201120 is an abundant number, since it is smaller than the sum of its proper divisors (140617014054880).

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

102012020201120 is a wasteful number, since it uses less digits than its factorization.

102012020201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144150 (or 144142 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102012020201120 its reverse (21102020210201), we get a palindrome (123114040411321).

The spelling of 102012020201120 in words is "one hundred two trillion, twelve billion, twenty million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 149 160 298 596 745 1192 1490 2384 2980 4768 5960 11920 23840 41927 83854 102059 167708 204118 209635 335416 408236 419270 510295 670832 816472 838540 1020590 1341664 1632944 1677080 2041180 3265888 3354160 4082360 6247123 6708320 8164720 12494246 15206791 16329440 24988492 30413582 31235615 49976984 60827164 62471230 76033955 99953968 121654328 124942460 152067910 199907936 243308656 249884920 304135820 486617312 499769840 608271640 999539680 1216543280 2433086560 4279027693 8558055386 17116110772 21395138465 34232221544 42790276930 68464443088 85580553860 136928886176 171161107720 342322215440 637575126257 684644430880 1275150252514 2550300505028 3187875631285 5100601010056 6375751262570 10201202020112 12751502525140 20402404040224 25503005050280 51006010100560 102012020201120