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52104422100 = 223527115715581
BaseRepresentation
bin110000100001101010…
…100110001011010100
311222111020122220001010
4300201222212023110
51323202213001400
635534134332220
73523124165103
oct604152461324
9158436586033
1052104422100
1120108651575
12a1217ba070
134bb4a485c3
14274400c03a
15154e4d2450
hexc21aa62d4

52104422100 has 144 divisors (see below), whose sum is σ = 153862402176. Its totient is φ = 13610688000.

The previous prime is 52104422093. The next prime is 52104422101. The reversal of 52104422100 is 122440125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52104422101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3336310 + ... + 3351890.

It is an arithmetic number, because the mean of its divisors is an integer number (1068488904).

Almost surely, 252104422100 is an apocalyptic number.

52104422100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52104422100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76931201088).

52104422100 is an abundant number, since it is smaller than the sum of its proper divisors (101757980076).

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

52104422100 is a wasteful number, since it uses less digits than its factorization.

52104422100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15826 (or 15819 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

Adding to 52104422100 its reverse (122440125), we get a palindrome (52226862225).

The spelling of 52104422100 in words is "fifty-two billion, one hundred four million, four hundred twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 71 75 100 142 150 157 213 284 300 314 355 426 471 628 710 785 852 942 1065 1420 1570 1775 1884 2130 2355 3140 3550 3925 4260 4710 5325 7100 7850 9420 10650 11147 11775 15581 15700 21300 22294 23550 31162 33441 44588 46743 47100 55735 62324 66882 77905 93486 111470 133764 155810 167205 186972 222940 233715 278675 311620 334410 389525 467430 557350 668820 779050 836025 934860 1106251 1114700 1168575 1558100 1672050 2212502 2337150 2446217 3318753 3344100 4425004 4674300 4892434 5531255 6637506 7338651 9784868 11062510 12231085 13275012 14677302 16593765 22125020 24462170 27656275 29354604 33187530 36693255 48924340 55312550 61155425 66375060 73386510 82968825 110625100 122310850 146773020 165937650 173681407 183466275 244621700 331875300 347362814 366932550 521044221 694725628 733865100 868407035 1042088442 1736814070 2084176884 2605221105 3473628140 4342035175 5210442210 8684070350 10420884420 13026105525 17368140700 26052211050 52104422100