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1135147058232 = 2331129592513033
BaseRepresentation
bin10000100001001100000…
…010011000010000111000
311000112000100110022122020
4100201030002120100320
5122044240121330412
62225251312554440
7145004000536035
oct20411402302070
94015010408566
101135147058232
113a845aa15060
12163bba552a20
138307560ab55
143cd2733438c
151e7db3ce18c
hex1084c098438

1135147058232 has 128 divisors (see below), whose sum is σ = 3256892064000. Its totient is φ = 326493117440.

The previous prime is 1135147058231. The next prime is 1135147058249. The reversal of 1135147058232 is 2328507415311.

It is a happy number.

It is a super-3 number, since 3×11351470582323 (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1135147058231) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 804813 + ... + 1708220.

It is an arithmetic number, because the mean of its divisors is an integer number (25444469250).

Almost surely, 21135147058232 is an apocalyptic number.

1135147058232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1135147058232 is an abundant number, since it is smaller than the sum of its proper divisors (2121745005768).

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

1135147058232 is a wasteful number, since it uses less digits than its factorization.

1135147058232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2513141 (or 2513137 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The spelling of 1135147058232 in words is "one trillion, one hundred thirty-five billion, one hundred forty-seven million, fifty-eight thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 29 33 44 58 59 66 87 88 116 118 132 174 177 232 236 264 319 348 354 472 638 649 696 708 957 1276 1298 1416 1711 1914 1947 2552 2596 3422 3828 3894 5133 5192 6844 7656 7788 10266 13688 15576 18821 20532 37642 41064 56463 75284 112926 150568 225852 451704 2513033 5026066 7539099 10052132 15078198 20104264 27643363 30156396 55286726 60312792 72877957 82930089 110573452 145755914 148268947 165860178 218633871 221146904 291511828 296537894 331720356 437267742 444806841 583023656 593075788 663440712 801657527 874535484 889613682 1186151576 1603315054 1630958417 1749070968 1779227364 2404972581 3206630108 3261916834 3558454728 4299799463 4809945162 4892875251 6413260216 6523833668 8599598926 9619890324 9785750502 12899398389 13047667336 17199197852 19239780648 19571501004 25798796778 34398395704 39143002008 47297794093 51597593556 94595588186 103195187112 141893382279 189191176372 283786764558 378382352744 567573529116 1135147058232