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11152220013132 = 223111015411546211
BaseRepresentation
bin1010001001001001010000…
…0111001100001001001100
31110111010211101110112200120
42202102110013030021030
52430204221310410012
635415131550424540
72230502260016142
oct242222407141114
943433741415616
1011152220013132
11360a6a2506860
12130145bb02150
1362b85a8c1243
142a7aadad3592
1514516510a58c
hexa24941cc24c

11152220013132 has 96 divisors (see below), whose sum is σ = 28721543493888. Its totient is φ = 3339813600000.

The previous prime is 11152220013127. The next prime is 11152220013217. The reversal of 11152220013132 is 23131002225111.

It is a super-2 number, since 2×111522200131322 (a number of 27 digits) contains 22 as substring.

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, 6439507 + ... + 7985717.

It is an arithmetic number, because the mean of its divisors is an integer number (299182744728).

Almost surely, 211152220013132 is an apocalyptic number.

11152220013132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11152220013132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14360771746944).

11152220013132 is an abundant number, since it is smaller than the sum of its proper divisors (17569323480756).

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

11152220013132 is a wasteful number, since it uses less digits than its factorization.

11152220013132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1546871 (or 1546869 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 11152220013132 its reverse (23131002225111), we get a palindrome (34283222238243).

The spelling of 11152220013132 in words is "eleven trillion, one hundred fifty-two billion, two hundred twenty million, thirteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 101 132 202 303 404 541 606 1082 1111 1212 1623 2164 2222 3246 3333 4444 5951 6492 6666 11902 13332 17853 23804 35706 54641 71412 109282 163923 218564 327846 601051 655692 1202102 1546211 1803153 2404204 3092422 3606306 4638633 6184844 7212612 9277266 17008321 18554532 34016642 51024963 68033284 102049926 156167311 204099852 312334622 468501933 624669244 836500151 937003866 1673000302 1717840421 1874007732 2509500453 3346000604 3435680842 5019000906 5153521263 6871361684 9201501661 10038001812 10307042526 18403003322 20614085052 27604504983 36806006644 55209009966 84486515251 110418019932 168973030502 253459545753 337946061004 506919091506 929351667761 1013838183012 1858703335522 2788055003283 3717406671044 5576110006566 11152220013132