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10251226212132 = 223172310273212677
BaseRepresentation
bin1001010100101100110010…
…1100100110011100100100
31100022000012120200010202210
42111023030230212130210
52320424002402242012
633445203122403420
72105424641043453
oct225131454463444
940260176603683
1010251226212132
1132a257aa47624
12119690ab00570
135948c0288709
1427623a734b9a
1512b9d072423c
hex952ccb26724

10251226212132 has 96 divisors (see below), whose sum is σ = 26430410426112. Its totient is φ = 3075927883776.

The previous prime is 10251226212127. The next prime is 10251226212169. The reversal of 10251226212132 is 23121262215201.

It is a self number, because there is not a number n which added to its sum of digits gives 10251226212132.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48094578 + ... + 48307254.

It is an arithmetic number, because the mean of its divisors is an integer number (275316775272).

Almost surely, 210251226212132 is an apocalyptic number.

10251226212132 is a gapful number since it is divisible by the number (12) 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 10251226212132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13215205213056).

10251226212132 is an abundant number, since it is smaller than the sum of its proper divisors (16179184213980).

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

10251226212132 is a wasteful number, since it uses less digits than its factorization.

10251226212132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222997 (or 222995 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

Adding to 10251226212132 its reverse (23121262215201), we get a palindrome (33372488427333).

The spelling of 10251226212132 in words is "ten trillion, two hundred fifty-one billion, two hundred twenty-six million, two hundred twelve thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 17 23 34 46 51 68 69 92 102 138 204 276 391 782 1173 1564 2346 4692 10273 20546 30819 41092 61638 123276 174641 212677 236279 349282 425354 472558 523923 638031 698564 708837 850708 945116 1047846 1276062 1417674 2095692 2552124 2835348 3615509 4016743 4891571 7231018 8033486 9783142 10846527 12050229 14462036 14674713 16066972 19566284 21693054 24100458 29349426 43386108 48200916 58698852 83156707 166313414 249470121 332626828 498940242 997880484 2184830821 4369661642 6554492463 8739323284 13108984926 26217969852 37142123957 50251108883 74284247914 100502217766 111426371871 148568495828 150753326649 201004435532 222852743742 301506653298 445705487484 603013306596 854268851011 1708537702022 2562806553033 3417075404044 5125613106066 10251226212132