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100051135504 = 24173120995653
BaseRepresentation
bin101110100101110000…
…0110010110000010000
3100120020201212021222021
41131023200302300100
53114401042314004
6113543551021224
710141234422415
oct1351340626020
9316221767867
10100051135504
1139482291a51
1217482b0a814
1395862a4938
144bb1b7210c
15290898ad54
hex174b832c10

100051135504 has 80 divisors (see below), whose sum is σ = 212011430400. Its totient is φ = 45534320640.

The previous prime is 100051135439. The next prime is 100051135511. The reversal of 100051135504 is 405531150001.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17695942 + ... + 17701594.

It is an arithmetic number, because the mean of its divisors is an integer number (2650142880).

Almost surely, 2100051135504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100051135504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106005715200).

100051135504 is an abundant number, since it is smaller than the sum of its proper divisors (111960294896).

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

100051135504 is a wasteful number, since it uses less digits than its factorization.

100051135504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7808 (or 7802 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 25.

Adding to 100051135504 its reverse (405531150001), we get a palindrome (505582285505).

The spelling of 100051135504 in words is "one hundred billion, fifty-one million, one hundred thirty-five thousand, five hundred four".

Divisors: 1 2 4 8 16 17 31 34 62 68 124 136 248 272 496 527 1054 2099 2108 4198 4216 5653 8396 8432 11306 16792 22612 33584 35683 45224 65069 71366 90448 96101 130138 142732 175243 192202 260276 285464 350486 384404 520552 570928 700972 768808 1041104 1106173 1401944 1537616 2212346 2803888 2979131 4424692 5958262 8849384 11865647 11916524 17698768 23731294 23833048 47462588 47666096 94925176 189850352 201715999 367835057 403431998 735670114 806863996 1471340228 1613727992 2942680456 3227455984 5885360912 6253195969 12506391938 25012783876 50025567752 100051135504