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10001000010976 = 2513294120219399
BaseRepresentation
bin1001000110001000101000…
…0011011001010011100000
31022102002022212221001222221
42101202022003121103200
52302324022000322401
633134221310440424
72051356050322222
oct221421203312340
938362285831887
1010001000010976
113206444865077
121156316803114
1357712339a6b0
1426809dc80412
15125237b277a1
hex9188a0d94e0

10001000010976 has 96 divisors (see below), whose sum is σ = 22470223608000. Its totient is φ = 4347979345920.

The previous prime is 10001000010971. The next prime is 10001000010977. The reversal of 10001000010976 is 67901000010001.

It is a self number, because there is not a number n which added to its sum of digits gives 10001000010976.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001000010971) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9615076 + ... + 10604323.

It is an arithmetic number, because the mean of its divisors is an integer number (234064829250).

Almost surely, 210001000010976 is an apocalyptic number.

10001000010976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10001000010976 is an abundant number, since it is smaller than the sum of its proper divisors (12469223597024).

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

10001000010976 is a wasteful number, since it uses less digits than its factorization.

10001000010976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20219492 (or 20219484 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 25.

Adding to 10001000010976 its reverse (67901000010001), we get a palindrome (77902000020977).

The spelling of 10001000010976 in words is "ten trillion, one billion, ten thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 13 16 26 29 32 41 52 58 82 104 116 164 208 232 328 377 416 464 533 656 754 928 1066 1189 1312 1508 2132 2378 3016 4264 4756 6032 8528 9512 12064 15457 17056 19024 30914 38048 61828 123656 247312 494624 20219399 40438798 80877596 161755192 262852187 323510384 525704374 586362571 647020768 828995359 1051408748 1172725142 1657990718 2102817496 2345450284 3315981436 4205634992 4690900568 6631962872 7622713423 8411269984 9381801136 10776939667 13263925744 15245426846 18763602272 21553879334 24040865411 26527851488 30490853692 43107758668 48081730822 60981707384 86215517336 96163461644 121963414768 172431034672 192326923288 243926829536 312531250343 344862069344 384653846576 625062500686 769307693152 1250125001372 2500250002744 5000500005488 10001000010976