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1112112132032 = 261129471158991
BaseRepresentation
bin10000001011101111000…
…011000110111111000000
310221022120000011211022102
4100023233003012333000
5121210101201211112
62210521450325532
7143230114102556
oct20135703067700
93838500154272
101112112132032
1139970a340070
1215b6501298a8
1380b442406c5
143bb7dd53bd6
151ddddec0bc2
hex102ef0c6fc0

1112112132032 has 112 divisors (see below), whose sum is σ = 2543477483520. Its totient is φ = 477689318400.

The previous prime is 1112112132031. The next prime is 1112112132149. The reversal of 1112112132032 is 2302312112111.

It is a junction number, because it is equal to n+sod(n) for n = 1112112131995 and 1112112132013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1112112132031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 380057 + ... + 1539047.

Almost surely, 21112112132032 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 1112112132032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1271738741760).

1112112132032 is an abundant number, since it is smaller than the sum of its proper divisors (1431365351488).

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

1112112132032 is a wasteful number, since it uses less digits than its factorization.

1112112132032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1159090 (or 1159080 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 1112112132032 its reverse (2302312112111), we get a palindrome (3414424244143).

The spelling of 1112112132032 in words is "one trillion, one hundred twelve billion, one hundred twelve million, one hundred thirty-two thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 29 32 44 47 58 64 88 94 116 176 188 232 319 352 376 464 517 638 704 752 928 1034 1276 1363 1504 1856 2068 2552 2726 3008 4136 5104 5452 8272 10208 10904 14993 16544 20416 21808 29986 33088 43616 59972 87232 119944 239888 479776 959552 1158991 2317982 4635964 9271928 12748901 18543856 25497802 33610739 37087712 50995604 54472577 67221478 74175424 101991208 108945154 134442956 203982416 217890308 268885912 369718129 407964832 435780616 537771824 599198347 739436258 815929664 871561232 1075543648 1198396694 1478872516 1579704733 1743122464 2151087296 2396793388 2957745032 3159409466 3486244928 4793586776 5915490064 6318818932 9587173552 11830980128 12637637864 17376752063 19174347104 23661960256 25275275728 34753504126 38348694208 50550551456 69507008252 101101102912 139014016504 278028033008 556056066016 1112112132032