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100204321032004 = 22717228319437273
BaseRepresentation
bin10110110010001010100010…
…111101011100011101000100
3111010210102212102101101100111
4112302022202331130131010
5101113221422141011004
6553041121331322404
730051344326230220
oct2662124275343504
9433712772341314
10100204321032004
1129a234609a0702
12b2a4328450404
1343bb2c4739697
141aa5cb4b33780
15b8b82727ea04
hex5b22a2f5c744

100204321032004 has 72 divisors (see below), whose sum is σ = 212898845698560. Its totient is φ = 40417029970944.

The previous prime is 100204321031993. The next prime is 100204321032019. The reversal of 100204321032004 is 400230123402001.

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 23 ways as a sum of consecutive naturals, for example, 228938712 + ... + 229375984.

It is an arithmetic number, because the mean of its divisors is an integer number (2956928412480).

Almost surely, 2100204321032004 is an apocalyptic number.

100204321032004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

100204321032004 is an abundant number, since it is smaller than the sum of its proper divisors (112694524666556).

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

100204321032004 is a wasteful number, since it uses less digits than its factorization.

100204321032004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465637 (or 465618 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 100204321032004 its reverse (400230123402001), we get a palindrome (500434444434005).

The spelling of 100204321032004 in words is "one hundred trillion, two hundred four billion, three hundred twenty-one million, thirty-two thousand, four".

Divisors: 1 2 4 7 14 17 28 34 68 119 238 289 476 578 1156 2023 4046 8092 28319 56638 113276 198233 396466 437273 481423 792932 874546 962846 1749092 1925692 3060911 3369961 6121822 6739922 7433641 8184191 12243644 13479844 14867282 16368382 29734564 32736764 52035487 57289337 104070974 114578674 126371897 208141948 229157348 252743794 505487588 884603279 1769206558 3538413116 12383134087 24766268174 49532536348 86681938609 173363877218 210513279479 346727754436 421026558958 842053117916 1473592956353 2947185912706 3578725751143 5894371825412 7157451502286 14314903004572 25051080258001 50102160516002 100204321032004