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100021350104 = 23134761335453
BaseRepresentation
bin101110100100110111…
…1001010111011011000
3100120011122211001002022
41131021233022323120
53114320431200404
6113541004354012
710140423306464
oct1351157127330
9316148731068
10100021350104
1139467498815
1217474b45908
139580076540
144babc1b4a4
1529060558be
hex1749bcaed8

100021350104 has 64 divisors (see below), whose sum is σ = 209645331840. Its totient is φ = 44440680960.

The previous prime is 100021350103. The next prime is 100021350131. The reversal of 100021350104 is 401053120001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100021350101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130442 + ... + 465894.

It is an arithmetic number, because the mean of its divisors is an integer number (3275708310).

Almost surely, 2100021350104 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 100021350104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104822665920).

100021350104 is an abundant number, since it is smaller than the sum of its proper divisors (109623981736).

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

100021350104 is a wasteful number, since it uses less digits than its factorization.

100021350104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335580 (or 335576 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

Adding to 100021350104 its reverse (401053120001), we get a palindrome (501074470105).

The spelling of 100021350104 in words is "one hundred billion, twenty-one million, three hundred fifty thousand, one hundred four".

Divisors: 1 2 4 8 13 26 47 52 61 94 104 122 188 244 376 488 611 793 1222 1586 2444 2867 3172 4888 5734 6344 11468 22936 37271 74542 149084 298168 335453 670906 1341812 2683624 4360889 8721778 15766291 17443556 20462633 31532582 34887112 40925266 63065164 81850532 126130328 163701064 204961783 266014229 409923566 532028458 819847132 961743751 1064056916 1639694264 1923487502 2128113832 3846975004 7693950008 12502668763 25005337526 50010675052 100021350104