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102011042031340 = 22513571808784967
BaseRepresentation
bin10111001100011101001011…
…111011000110011011101100
3111101012011022220200200122111
4113030131023323012123230
5101332322103230000330
61000543120432453404
730326024501311441
oct2714351373063354
9441164286620574
10102011042031340
112a55a7048935a2
12b53650b6aa264
1344bc7a522cc70
141b29509d939c8
15bbd81bd9032a
hex5cc74bec66ec

102011042031340 has 96 divisors (see below), whose sum is σ = 231137224141824. Its totient is φ = 37594559358720.

The previous prime is 102011042031281. The next prime is 102011042031361. The reversal of 102011042031340 is 43130240110201.

It is a super-2 number, since 2×1020110420313402 (a number of 29 digits) contains 22 as substring.

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, 1200553537 + ... + 1200638503.

It is an arithmetic number, because the mean of its divisors is an integer number (2407679418144).

Almost surely, 2102011042031340 is an apocalyptic number.

102011042031340 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 102011042031340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115568612070912).

102011042031340 is an abundant number, since it is smaller than the sum of its proper divisors (129126182110484).

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

102011042031340 is a wasteful number, since it uses less digits than its factorization.

102011042031340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93647 (or 93645 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 102011042031340 its reverse (43130240110201), we get a palindrome (145141282141541).

The spelling of 102011042031340 in words is "one hundred two trillion, eleven billion, forty-two million, thirty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 571 1142 2284 2855 5710 7423 8087 11420 14846 16174 29692 32348 37115 40435 74230 80870 84967 105131 148460 161740 169934 210262 339868 420524 424835 525655 849670 1051310 1104571 1699340 2102620 2209142 4418284 4617677 5522855 9235354 11045710 18470708 22091420 23088385 46176770 48516157 60029801 92353540 97032314 120059602 194064628 240119204 242580785 300149005 485161570 600298010 630710041 687128129 970323140 1200596020 1261420082 1374256258 2522840164 2748512516 3153550205 3435640645 6307100410 6871281290 8932665677 12614200820 13742562580 17865331354 35730662708 44663328385 89326656770 178653313540 392350161659 784700323318 1569400646636 1961750808295 3923501616590 5100552101567 7847003233180 10201104203134 20402208406268 25502760507835 51005521015670 102011042031340