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1011133022032 = 247139233278753
BaseRepresentation
bin11101011011011000011…
…10010111111101010000
310120122220121011112122101
432231230032113331100
5113031300023201112
62052301425450144
7133023550610140
oct16555416277520
93518817145571
101011133022032
1135a90125a151
12143b6a4a0954
1374470929343
1436d20c62920
151b47dd2e757
hexeb6c397f50

1011133022032 has 80 divisors (see below), whose sum is σ = 2264731297920. Its totient is φ = 428377153536.

The previous prime is 1011133022027. The next prime is 1011133022047. The reversal of 1011133022032 is 2302203311101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3487968 + ... + 3766720.

It is an arithmetic number, because the mean of its divisors is an integer number (28309141224).

Almost surely, 21011133022032 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 1011133022032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1132365648960).

1011133022032 is an abundant number, since it is smaller than the sum of its proper divisors (1253598275888).

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

1011133022032 is a wasteful number, since it uses less digits than its factorization.

1011133022032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279140 (or 279134 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 1011133022032 its reverse (2302203311101), we get a palindrome (3313336333133).

The spelling of 1011133022032 in words is "one trillion, eleven billion, one hundred thirty-three million, twenty-two thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 56 112 139 233 278 466 556 932 973 1112 1631 1864 1946 2224 3262 3728 3892 6524 7784 13048 15568 26096 32387 64774 129548 226709 259096 278753 453418 518192 557506 906836 1115012 1813672 1951271 2230024 3627344 3902542 4460048 7805084 15610168 31220336 38746667 64949449 77493334 129898898 154986668 259797796 271226669 309973336 454646143 519595592 542453338 619946672 909292286 1039191184 1084906676 1818584572 2169813352 3637169144 4339626704 7274338288 9027973411 18055946822 36111893644 63195813877 72223787288 126391627754 144447574576 252783255508 505566511016 1011133022032