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10113304331112 = 2334771633719927
BaseRepresentation
bin1001001100101010111111…
…1010011000001101101000
31022210211012120022122100020
42103022233322120031220
52311144021402043422
633301553214040440
72062443052306203
oct223125772301550
938724176278306
1010113304331112
11324a034706a94
1211740391a9120
135848b00c2c28
1426d6b50d893a
1512810c19695c
hex932afe98368

10113304331112 has 128 divisors (see below), whose sum is σ = 26190327767040. Its totient is φ = 3252229263360.

The previous prime is 10113304331077. The next prime is 10113304331153. The reversal of 10113304331112 is 21113340331101.

10113304331112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 507507693 + ... + 507527619.

It is an arithmetic number, because the mean of its divisors is an integer number (204611935680).

Almost surely, 210113304331112 is an apocalyptic number.

10113304331112 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 10113304331112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13095163883520).

10113304331112 is an abundant number, since it is smaller than the sum of its proper divisors (16077023435928).

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

10113304331112 is a wasteful number, since it uses less digits than its factorization.

10113304331112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26391 (or 26387 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 10113304331112 its reverse (21113340331101), we get a palindrome (31226644662213).

The spelling of 10113304331112 in words is "ten trillion, one hundred thirteen billion, three hundred four million, three hundred thirty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 47 71 94 141 142 188 213 282 284 376 426 564 568 852 1128 1704 3337 6337 6674 10011 12674 13348 19011 19927 20022 25348 26696 38022 39854 40044 50696 59781 76044 79708 80088 119562 152088 159416 239124 297839 449927 478248 595678 893517 899854 936569 1191356 1349781 1414817 1787034 1799708 1873138 2382712 2699562 2809707 2829634 3574068 3599416 3746276 4244451 5399124 5619414 5659268 7148136 7492552 8488902 10798248 11238828 11318536 16977804 21146569 22477656 33955608 42293138 63439707 66496399 84586276 126277399 126879414 132992798 169172552 199489197 252554798 253758828 265985596 378832197 398978394 505109596 507517656 531971192 757664394 797956788 1010219192 1515328788 1595913576 3030657576 5935037753 8965695329 11870075506 17805113259 17931390658 23740151012 26897085987 35610226518 35862781316 47480302024 53794171974 71220453036 71725562632 107588343948 142440906072 215176687896 421387680463 842775360926 1264163041389 1685550721852 2528326082778 3371101443704 5056652165556 10113304331112