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102200122232 = 231317313718427
BaseRepresentation
bin101111100101110011…
…0100001101101111000
3100202210111120010120022
41133023212201231320
53133301212402412
6114541115150012
710245420464015
oct1371346415570
9322714503508
10102200122232
113a38533953a
1217982745308
139839584910
144d3733070c
1529d247ca72
hex17cb9a1b78

102200122232 has 64 divisors (see below), whose sum is σ = 218586301920. Its totient is φ = 44378062848.

The previous prime is 102200122201. The next prime is 102200122237. The reversal of 102200122232 is 232221002201.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 102200122232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102200122237) 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, 5537003 + ... + 5555429.

Almost surely, 2102200122232 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 102200122232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109293150960).

102200122232 is an abundant number, since it is smaller than the sum of its proper divisors (116386179688).

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

102200122232 is a wasteful number, since it uses less digits than its factorization.

102200122232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21600 (or 21596 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 102200122232 its reverse (232221002201), we get a palindrome (334421124433).

The spelling of 102200122232 in words is "one hundred two billion, two hundred million, one hundred twenty-two thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 136 221 442 884 1768 3137 6274 12548 18427 25096 36854 40781 53329 73708 81562 106658 147416 163124 213316 239551 313259 326248 426632 479102 626518 693277 958204 1253036 1386554 1916408 2506072 2773108 4072367 5546216 8144734 16289468 32578936 57805499 115610998 231221996 462443992 751471487 982693483 1502942974 1965386966 3005885948 3930773932 6011771896 7861547864 12775015279 25550030558 51100061116 102200122232