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10212115524 = 223131073491753
BaseRepresentation
bin10011000001011000…
…01000010001000100
3222100200220012220220
421200230020101010
5131403300144044
64405201024340
7511031356362
oct114054102104
928320805826
1010212115524
1143705225a6
121b900250b0
13c69927210
146cc3ba632
153eb80c019
hex260b08444

10212115524 has 96 divisors (see below), whose sum is σ = 25990070400. Its totient is φ = 3102133248.

The previous prime is 10212115513. The next prime is 10212115547. The reversal of 10212115524 is 42551121201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10212115494 and 10212115503.

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, 5824632 + ... + 5826384.

It is an arithmetic number, because the mean of its divisors is an integer number (270729900).

Almost surely, 210212115524 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 10212115524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12995035200).

10212115524 is an abundant number, since it is smaller than the sum of its proper divisors (15777954876).

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

10212115524 is a wasteful number, since it uses less digits than its factorization.

10212115524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2229 (or 2227 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 24.

Adding to 10212115524 its reverse (42551121201), we get a palindrome (52763236725).

The spelling of 10212115524 in words is "ten billion, two hundred twelve million, one hundred fifteen thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 107 156 214 321 349 428 642 698 1047 1284 1391 1396 1753 2094 2782 3506 4173 4188 4537 5259 5564 7012 8346 9074 10518 13611 16692 18148 21036 22789 27222 37343 45578 54444 68367 74686 91156 112029 136734 149372 187571 224058 273468 375142 448116 485459 562713 611797 750284 970918 1125426 1223594 1456377 1835391 1941836 2250852 2438423 2447188 2912754 3670782 4876846 5825508 7315269 7341564 7953361 9753692 14630538 15906722 23860083 29261076 31813444 47720166 65462279 95440332 130924558 196386837 261849116 392773674 785547348 851009627 1702019254 2553028881 3404038508 5106057762 10212115524