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11300321032 = 23711137511879
BaseRepresentation
bin10101000011000110…
…10011011100001000
31002011112112210020121
422201203103130020
5141120340233112
65105153033024
7550014100240
oct124143233410
932145483217
1011300321032
1148798114a0
122234555774
1310b12085c0
14792b28b20
15462113407
hex2a18d3708

11300321032 has 128 divisors (see below), whose sum is σ = 28501401600. Its totient is φ = 4056480000.

The previous prime is 11300321023. The next prime is 11300321057. The reversal of 11300321032 is 23012300311.

It is a junction number, because it is equal to n+sod(n) for n = 11300320997 and 11300321015.

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, 6013069 + ... + 6014947.

It is an arithmetic number, because the mean of its divisors is an integer number (222667200).

Almost surely, 211300321032 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 11300321032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14250700800).

11300321032 is an abundant number, since it is smaller than the sum of its proper divisors (17201080568).

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

11300321032 is a wasteful number, since it uses less digits than its factorization.

11300321032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2667 (or 2663 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 11300321032 its reverse (23012300311), we get a palindrome (34312621343).

The spelling of 11300321032 in words is "eleven billion, three hundred million, three hundred twenty-one thousand, thirty-two".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 77 88 91 104 143 154 182 286 308 364 572 616 728 751 1001 1144 1502 1879 2002 3004 3758 4004 5257 6008 7516 8008 8261 9763 10514 13153 15032 16522 19526 20669 21028 24427 26306 33044 39052 41338 42056 48854 52612 57827 66088 68341 78104 82676 97708 105224 107393 115654 136682 144683 165352 170989 195416 214786 231308 268697 273364 289366 341978 429572 462616 537394 546728 578732 683956 751751 859144 1074788 1157464 1367912 1411129 1503502 1880879 2149576 2822258 3007004 3761758 5644516 6014008 7523516 9877903 11289032 15047032 15522419 18344677 19755806 31044838 36689354 39511612 62089676 73378708 79023224 108656933 124179352 128412739 146757416 201791447 217313866 256825478 403582894 434627732 513650956 807165788 869255464 1027301912 1412540129 1614331576 2825080258 5650160516 11300321032