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102034411342140 = 22353183965384041
BaseRepresentation
bin10111001100110010111100…
…110101111100100100111100
3111101021101122120011200102010
4113030302330311330210330
5101333212433300422030
61001001543402131220
730330512555214054
oct2714627465744474
9441241576150363
10102034411342140
112a5696071976a2
12b53ab51ab0b10
1344c1a5a976b14
141b2a6c5938564
15bbe2388006b0
hex5cccbcd7c93c

102034411342140 has 96 divisors (see below), whose sum is σ = 295263872225280. Its totient is φ = 26300076249600.

The previous prime is 102034411342139. The next prime is 102034411342151. The reversal of 102034411342140 is 41243114430201.

It is a happy number.

It is a super-2 number, since 2×1020344113421402 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 102034411342098 and 102034411342107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31131481 + ... + 34252560.

It is an arithmetic number, because the mean of its divisors is an integer number (3075665335680).

Almost surely, 2102034411342140 is an apocalyptic number.

102034411342140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102034411342140 is an abundant number, since it is smaller than the sum of its proper divisors (193229460883140).

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

102034411342140 is a wasteful number, since it uses less digits than its factorization.

102034411342140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65384923 (or 65384921 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 102034411342140 its reverse (41243114430201), we get a palindrome (143277525772341).

The spelling of 102034411342140 in words is "one hundred two trillion, thirty-four billion, four hundred eleven million, three hundred forty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 839 930 1678 1860 2517 3356 4195 5034 8390 10068 12585 16780 25170 26009 50340 52018 78027 104036 130045 156054 260090 312108 390135 520180 780270 1560540 65384041 130768082 196152123 261536164 326920205 392304246 653840410 784608492 980760615 1307680820 1961521230 2026905271 3923042460 4053810542 6080715813 8107621084 10134526355 12161431626 20269052710 24322863252 30403579065 40538105420 54857210399 60807158130 109714420798 121614316260 164571631197 219428841596 274286051995 329143262394 548572103990 658286524788 822858155985 1097144207980 1645716311970 1700573522369 3291432623940 3401147044738 5101720567107 6802294089476 8502867611845 10203441134214 17005735223690 20406882268428 25508602835535 34011470447380 51017205671070 102034411342140