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1113233232132 = 2232741773139387
BaseRepresentation
bin10000001100110001110…
…111110001000100000100
310221102110010201121112100
4100030301313301010010
5121214400201412012
62211225015352100
7143266646226150
oct20146167610404
93842403647470
101113233232132
1139a13515717a
1215b903682630
1380c9259b448
143bc48bc6060
151de576238dc
hex10331df1104

1113233232132 has 144 divisors (see below), whose sum is σ = 3298731875712. Its totient is φ = 309905256960.

The previous prime is 1113233232121. The next prime is 1113233232143. The reversal of 1113233232132 is 2312323323111.

1113233232132 is a `hidden beast` number, since 1 + 1 + 1 + 3 + 2 + 332 + 321 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (1113233232121) and next prime (1113233232143).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1113233232096 and 1113233232105.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7916943 + ... + 8056329.

It is an arithmetic number, because the mean of its divisors is an integer number (22907860248).

Almost surely, 21113233232132 is an apocalyptic number.

1113233232132 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 1113233232132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1649365937856).

1113233232132 is an abundant number, since it is smaller than the sum of its proper divisors (2185498643580).

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

1113233232132 is a wasteful number, since it uses less digits than its factorization.

1113233232132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140218 (or 140213 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

Adding to 1113233232132 its reverse (2312323323111), we get a palindrome (3425556555243).

The spelling of 1113233232132 in words is "one trillion, one hundred thirteen billion, two hundred thirty-three million, two hundred thirty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 41 42 63 82 84 123 126 164 246 252 287 369 492 574 738 773 861 1148 1476 1546 1722 2319 2583 3092 3444 4638 5166 5411 6957 9276 10332 10822 13914 16233 21644 27828 31693 32466 48699 63386 64932 95079 97398 126772 139387 190158 194796 221851 278774 285237 380316 418161 443702 557548 570474 665553 836322 887404 975709 1140948 1254483 1331106 1672644 1951418 1996659 2508966 2662212 2927127 3902836 3993318 5017932 5714867 5854254 7986636 8781381 11429734 11708508 17144601 17562762 22859468 34289202 35125524 40004069 51433803 68578404 80008138 102867606 107746151 120012207 160016276 205735212 215492302 240024414 323238453 360036621 430984604 480048828 646476906 720073242 754223057 969715359 1292953812 1440146484 1508446114 1939430718 2262669171 3016892228 3878861436 4417592191 4525338342 6788007513 8835184382 9050676684 13252776573 13576015026 17670368764 26505553146 27152030052 30923145337 39758329719 53011106292 61846290674 79516659438 92769436011 123692581348 159033318876 185538872022 278308308033 371077744044 556616616066 1113233232132