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100021324444233 = 3171913127114332029
BaseRepresentation
bin10110101111100000000111…
…100000110111001001001001
3111010010221112002000112110120
4112233200013200313021021
5101102222133024203413
6552421055003333453
730032205443005503
oct2657400740671111
9433127462015416
10100021324444233
1129962895109805
12b274977221289
1343a6c80036a9a
141a9b0b4d7cd73
15b86bb6958723
hex5af807837249

100021324444233 has 128 divisors (see below), whose sum is σ = 150504857395200. Its totient is φ = 58713851289600.

The previous prime is 100021324444219. The next prime is 100021324444247. The reversal of 100021324444233 is 332444423120001.

It is an interprime number because it is at equal distance from previous prime (100021324444219) and next prime (100021324444247).

It is not a de Polignac number, because 100021324444233 - 221 = 100021322347081 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100021324444194 and 100021324444203.

It is not an unprimeable number, because it can be changed into a prime (100021324444933) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 49295871063 + ... + 49295873091.

It is an arithmetic number, because the mean of its divisors is an integer number (1175819198400).

Almost surely, 2100021324444233 is an apocalyptic number.

It is an amenable number.

100021324444233 is a deficient number, since it is larger than the sum of its proper divisors (50483532950967).

100021324444233 is a wasteful number, since it uses less digits than its factorization.

100021324444233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3903.

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 100021324444233 its reverse (332444423120001), we get a palindrome (432465747564234).

The spelling of 100021324444233 in words is "one hundred trillion, twenty-one billion, three hundred twenty-four million, four hundred forty-four thousand, two hundred thirty-three".

Divisors: 1 3 17 19 51 57 131 271 323 393 813 969 1433 2029 2227 2489 4299 4607 5149 6087 6681 7467 13821 15447 24361 27227 34493 35501 38551 42313 73083 81681 87533 103479 106503 115653 126939 187723 262599 265799 388343 462859 549859 563169 603517 655367 674519 797397 1165029 1388577 1649577 1810551 1966101 2023557 2907557 3191291 3566737 4518583 5050181 6601831 7378517 8722671 9347603 9573873 10447321 10700211 11466823 13555749 15150543 19805493 22135551 28042809 31341963 34400469 49428469 50872933 55243583 60634529 72031529 85853077 125434789 148285407 152618799 165730749 177604457 181903587 216094587 257559231 376304367 380889967 532813371 787947947 864839861 939140911 966585727 1142669901 1224535993 1368599051 2363843841 2594519583 2817422733 2899757181 3673607979 4105797153 6475129439 7236909373 13395115099 14971010993 16431957359 19425388317 21710728119 23266183867 40185345297 44913032979 49295872077 69798551601 103221181057 123027459341 254507186881 309663543171 369082378023 763521560643 1754760077969 1961202440083 5264280233907 5883607320249 33340441481411 100021324444233