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102144037580 = 2251315116071619
BaseRepresentation
bin101111100100001000…
…0100101001011001100
3100202122121000201212222
41133020100211023030
53133142333200310
6114531353114512
710244136664634
oct1371020451314
9322577021788
10102144037580
113a356712292
12179679b8a38
13982aa78b30
144d2dad16c4
1529cc5a0055
hex17c84252cc

102144037580 has 96 divisors (see below), whose sum is σ = 232820904960. Its totient is φ = 37418515200.

The previous prime is 102144037547. The next prime is 102144037591. The reversal of 102144037580 is 85730441201.

It is a self number, because there is not a number n which added to its sum of digits gives 102144037580.

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, 63090011 + ... + 63091629.

It is an arithmetic number, because the mean of its divisors is an integer number (2425217760).

Almost surely, 2102144037580 is an apocalyptic number.

102144037580 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 102144037580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116410452480).

102144037580 is an abundant number, since it is smaller than the sum of its proper divisors (130676867380).

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

102144037580 is a wasteful number, since it uses less digits than its factorization.

102144037580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3399 (or 3397 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 35.

Adding to 102144037580 its reverse (85730441201), we get a palindrome (187874478781).

The spelling of 102144037580 in words is "one hundred two billion, one hundred forty-four million, thirty-seven thousand, five hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 151 260 302 604 755 1510 1607 1619 1963 3020 3214 3238 3926 6428 6476 7852 8035 8095 9815 16070 16190 19630 20891 21047 32140 32380 39260 41782 42094 83564 84188 104455 105235 208910 210470 242657 244469 417820 420940 485314 488938 970628 977876 1213285 1222345 2426570 2444690 2601733 3154541 3178097 4853140 4889380 5203466 6309082 6356194 10406932 12618164 12712388 13008665 15772705 15890485 26017330 31545410 31780970 33822529 52034660 63090820 63561940 67645058 135290116 169112645 338225290 392861683 676450580 785723366 1571446732 1964308415 3928616830 5107201879 7857233660 10214403758 20428807516 25536009395 51072018790 102144037580