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10400001222 = 23131571734909
BaseRepresentation
bin10011010111110001…
…10110110011000110
3222211210102210122110
421223320312303012
5132244400014342
64435552041450
7515502360162
oct115370666306
928753383573
1010400001222
114457590936
122022b33286
13c9982c4a0
14709327ca2
1540d071c9c
hex26be36cc6

10400001222 has 64 divisors (see below), whose sum is σ = 22677600960. Its totient is φ = 3160594944.

The previous prime is 10400001221. The next prime is 10400001229. The reversal of 10400001222 is 22210000401.

It is a junction number, because it is equal to n+sod(n) for n = 10400001198 and 10400001207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10400001221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2116104 + ... + 2121012.

It is an arithmetic number, because the mean of its divisors is an integer number (354337515).

Almost surely, 210400001222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10400001222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11338800480).

10400001222 is an abundant number, since it is smaller than the sum of its proper divisors (12277599738).

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

10400001222 is a wasteful number, since it uses less digits than its factorization.

10400001222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5257.

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10400001222 its reverse (22210000401), we get a palindrome (32610001623).

The spelling of 10400001222 in words is "ten billion, four hundred million, one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 13 26 39 78 157 173 314 346 471 519 942 1038 2041 2249 4082 4498 4909 6123 6747 9818 12246 13494 14727 27161 29454 54322 63817 81483 127634 162966 191451 353093 382902 706186 770713 849257 1059279 1541426 1698514 2118558 2312139 2547771 4624278 5095542 10019269 11040341 20038538 22080682 30057807 33121023 60115614 66242046 133333349 266666698 400000047 800000094 1733333537 3466667074 5200000611 10400001222