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10213014430112 = 2513210331757839
BaseRepresentation
bin1001010010011110011100…
…0110001110000110100000
31100011100120112110111011212
42110213213012032012200
52314312223143230422
633415443303325252
72102603006206244
oct224474706160640
940140515414155
1010213014430112
11328835143618a
12118b425a50828
1359111082c500
14274453854424
1512a9e5c199e2
hex949e718e1a0

10213014430112 has 144 divisors (see below), whose sum is σ = 22053645169920. Its totient is φ = 4653129102336.

The previous prime is 10213014430093. The next prime is 10213014430127. The reversal of 10213014430112 is 21103441031201.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 176547689 + ... + 176605527.

It is an arithmetic number, because the mean of its divisors is an integer number (153150313680).

Almost surely, 210213014430112 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 10213014430112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11026822584960).

10213014430112 is an abundant number, since it is smaller than the sum of its proper divisors (11840630739808).

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

10213014430112 is a wasteful number, since it uses less digits than its factorization.

10213014430112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58295 (or 58274 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 10213014430112 its reverse (21103441031201), we get a palindrome (31316455461313).

The spelling of 10213014430112 in words is "ten trillion, two hundred thirteen billion, fourteen million, four hundred thirty thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 103 104 169 206 208 317 338 412 416 634 676 824 1268 1339 1352 1648 2536 2678 2704 3296 4121 5072 5356 5408 8242 10144 10712 16484 17407 21424 32651 32968 34814 42848 53573 57839 65302 65936 69628 107146 115678 130604 131872 139256 214292 231356 261208 278512 424463 428584 462712 522416 557024 751907 848926 857168 925424 1044832 1503814 1697852 1714336 1850848 3007628 3395704 5518019 5957417 6015256 6791408 9774791 11036038 11914834 12030512 13582816 18334963 19549582 22072076 23829668 24061024 36669926 39099164 44144152 47659336 73339852 77446421 78198328 88288304 95318672 146679704 154892842 156396656 176576608 190637344 238354519 293359408 309785684 312793312 476709038 586718816 619571368 953418076 1006803473 1239142736 1888501189 1906836152 2013606946 2478285472 3098608747 3777002378 3813672304 4027213892 6197217494 7554004756 7627344608 8054427784 12394434988 15108009512 16108855568 24550515457 24788869976 30216019024 32217711136 49101030914 49577739952 60432038048 98202061828 99155479904 196404123656 319156700941 392808247312 638313401882 785616494624 1276626803764 2553253607528 5106507215056 10213014430112