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100121011822494 = 232131923037390263
BaseRepresentation
bin10110110000111100111101…
…010110000001111110011110
3111010111110211110102001022100
4112300330331112001332132
5101110340313011304434
6552534542522025530
730042335002515405
oct2660747526017636
9433443743361270
10100121011822494
11299a10a002a533
12b2901583482a6
1343b34a8b49740
141aa1c506a263c
15b8959d4de699
hex5b0f3d581f9e

100121011822494 has 144 divisors (see below), whose sum is σ = 246640208828832. Its totient is φ = 29175387677568.

The previous prime is 100121011822493. The next prime is 100121011822529. The reversal of 100121011822494 is 494228110121001.

100121011822494 is a `hidden beast` number, since 10 + 0 + 1 + 21 + 0 + 118 + 22 + 494 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100121011822493) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 256352407 + ... + 256742669.

It is an arithmetic number, because the mean of its divisors is an integer number (1712779227978).

Almost surely, 2100121011822494 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100121011822494, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123320104414416).

100121011822494 is an abundant number, since it is smaller than the sum of its proper divisors (146519197006338).

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

100121011822494 is a wasteful number, since it uses less digits than its factorization.

100121011822494 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393359 (or 393337 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

Adding to 100121011822494 its reverse (494228110121001), we get a palindrome (594349121943495).

The spelling of 100121011822494 in words is "one hundred trillion, one hundred twenty-one billion, eleven million, eight hundred twenty-two thousand, four hundred ninety-four".

Divisors: 1 2 3 6 9 13 18 19 26 38 39 57 78 114 117 171 234 247 342 361 494 722 741 1083 1482 2166 2223 3037 3249 4446 4693 6074 6498 9111 9386 14079 18222 27333 28158 39481 42237 54666 57703 78962 84474 115406 118443 173109 236886 346218 355329 390263 519327 710658 750139 780526 1038654 1096357 1170789 1500278 2192714 2250417 2341578 3289071 3512367 4500834 5073419 6578142 6751251 7024734 7414997 9867213 10146838 13502502 14252641 14829994 15220257 19734426 22244991 28505282 30440514 42757923 44489982 45660771 66734973 85515846 91321542 96394961 128273769 133469946 140884943 192789922 256547538 281769886 289184883 422654829 578369766 845309658 867554649 1185228731 1267964487 1735109298 1831504259 2370457462 2535928974 3555686193 3663008518 5494512777 7111372386 10667058579 10989025554 15407973503 16483538331 21334117158 22519345889 30815947006 32967076662 45038691778 46223920509 67558037667 92447841018 135116075334 138671761527 202674113001 277343523054 292751496557 405348226002 427867571891 585502993114 855735143782 878254489671 1283602715673 1756508979342 2567205431346 2634763469013 3850808147019 5269526938026 5562278434583 7701616294038 11124556869166 16686835303749 33373670607498 50060505911247 100121011822494