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100010038922656 = 2541331345235087
BaseRepresentation
bin10110101111010101100110…
…110110000000110110100000
3111010002212101120022122020221
4112233111212312000312200
5101102031024431011111
6552411551055412424
730031325665444312
oct2657254666006640
9433085346278227
10100010038922656
1129959023796375
12b272747824114
1343a5ba1c10775
141a9a7241c77b2
15b86755cba371
hex5af566d80da0

100010038922656 has 96 divisors (see below), whose sum is σ = 201842233302528. Its totient is φ = 48750291394560.

The previous prime is 100010038922623. The next prime is 100010038922687. The reversal of 100010038922656 is 656229830010001.

It is a super-2 number, since 2×1000100389226562 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19659922545 + ... + 19659927631.

It is an arithmetic number, because the mean of its divisors is an integer number (2102523263568).

Almost surely, 2100010038922656 is an apocalyptic number.

100010038922656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

100010038922656 is an abundant number, since it is smaller than the sum of its proper divisors (101832194379872).

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

100010038922656 is a wasteful number, since it uses less digits than its factorization.

100010038922656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12974 (or 12966 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 43.

Adding to 100010038922656 its reverse (656229830010001), we get a palindrome (756239868932657).

The spelling of 100010038922656 in words is "one hundred trillion, ten billion, thirty-eight million, nine hundred twenty-two thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 32 41 82 164 328 656 1312 3313 4523 5087 6626 9046 10174 13252 18092 20348 26504 36184 40696 53008 72368 81392 106016 135833 144736 162784 185443 208567 271666 370886 417134 543332 741772 834268 1086664 1483544 1668536 2173328 2967088 3337072 4346656 5934176 6674144 14984699 16853231 23008501 29969398 33706462 46017002 59938796 67412924 92034004 119877592 134825848 184068008 239755184 269651696 368136016 479510368 539303392 614372659 690982471 736272032 943348541 1228745318 1381964942 1886697082 2457490636 2763929884 3773394164 4914981272 5527859768 7546788328 9829962544 11055719536 15093576656 19659925088 22111439072 30187153312 76227163813 152454327626 304908655252 609817310504 1219634621008 2439269242016 3125313716333 6250627432666 12501254865332 25002509730664 50005019461328 100010038922656