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213224102124 = 2231161101262187
BaseRepresentation
bin1100011010010100100…
…1011001100011101100
3202101100221202200021120
43012211021121203230
511443140332231444
6241542004300540
721255614651415
oct3064511314354
9671327680246
10213224102124
11824784a0920
12353a83a1750
1317150c66787
14a46a50480c
15582e3e1b19
hex31a52598ec

213224102124 has 96 divisors (see below), whose sum is σ = 557113842432. Its totient is φ = 62924640000.

The previous prime is 213224102101. The next prime is 213224102159. The reversal of 213224102124 is 421201422312.

It is a super-2 number, since 2×2132241021242 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 213224102094 and 213224102103.

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, 682159 + ... + 944345.

It is an arithmetic number, because the mean of its divisors is an integer number (5803269192).

Almost surely, 2213224102124 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 213224102124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278556921216).

213224102124 is an abundant number, since it is smaller than the sum of its proper divisors (343889740308).

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

213224102124 is a wasteful number, since it uses less digits than its factorization.

213224102124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262367 (or 262365 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 213224102124 its reverse (421201422312), we get a palindrome (634425524436).

The spelling of 213224102124 in words is "two hundred thirteen billion, two hundred twenty-four million, one hundred two thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 61 66 101 122 132 183 202 244 303 366 404 606 671 732 1111 1212 1342 2013 2222 2684 3333 4026 4444 6161 6666 8052 12322 13332 18483 24644 36966 67771 73932 135542 203313 262187 271084 406626 524374 786561 813252 1048748 1573122 2884057 3146244 5768114 8652171 11536228 15993407 17304342 26480887 31986814 34608684 47980221 52961774 63973628 79442661 95960442 105923548 158885322 175927477 191920884 291289757 317770644 351854954 527782431 582579514 703709908 873869271 1055564862 1165159028 1615334107 1747738542 2111129724 3230668214 3495477084 4846002321 6461336428 9692004642 17768675177 19384009284 35537350354 53306025531 71074700708 106612051062 213224102124