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1102312021132 = 2271741157359761
BaseRepresentation
bin10000000010100110111…
…010101001110010001100
310220101021000112121111001
4100002212322221302030
5121030013334134012
62202221204110044
7142432214403640
oct20024672516214
93811230477431
101102312021132
11395540442763
12159776095324
137cc41a9bc0a
143b4d0584c20
151da18949357
hex100a6ea9c8c

1102312021132 has 96 divisors (see below), whose sum is σ = 2406479677056. Its totient is φ = 431021260800.

The previous prime is 1102312021127. The next prime is 1102312021133. The reversal of 1102312021132 is 2311202132011.

It is a super-2 number, since 2×11023120211322 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1102312021133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2884132 + ... + 3243892.

It is an arithmetic number, because the mean of its divisors is an integer number (25067496636).

Almost surely, 21102312021132 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 1102312021132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1203239838528).

1102312021132 is an abundant number, since it is smaller than the sum of its proper divisors (1304167655924).

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

1102312021132 is a wasteful number, since it uses less digits than its factorization.

1102312021132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359987 (or 359985 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 1102312021132 its reverse (2311202132011), we get a palindrome (3413514153143).

The spelling of 1102312021132 in words is "one trillion, one hundred two billion, three hundred twelve million, twenty-one thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 17 28 34 41 68 82 119 157 164 238 287 314 476 574 628 697 1099 1148 1394 2198 2669 2788 4396 4879 5338 6437 9758 10676 12874 18683 19516 25748 37366 45059 74732 90118 109429 180236 218858 359761 437716 719522 766003 1439044 1532006 2518327 3064012 5036654 6115937 10073308 12231874 14750201 24463748 29500402 42811559 56482477 59000804 85623118 103251407 112964954 171246236 206502814 225929908 250753417 395377339 413005628 501506834 790754678 960202109 1003013668 1581509356 1755273919 1920404218 2315781557 3510547838 3840808436 4631563114 6721414763 7021095676 9263126228 13442829526 16210470899 26885659052 32420941798 39368286469 64841883596 78736572938 157473145876 275578005283 551156010566 1102312021132