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3031772112 = 243317596997
BaseRepresentation
bin1011010010110101…
…0010101111010000
321211021210222111000
42310231102233100
522202113201422
61220501222000
7135062431515
oct26455225720
97737728430
103031772112
1113163a1296
12707401900
13394159cc5
1420a91730c
1512b26ccac
hexb4b52bd0

3031772112 has 160 divisors (see below), whose sum is σ = 9371721600. Its totient is φ = 934889472.

The previous prime is 3031772057. The next prime is 3031772113. The reversal of 3031772112 is 2112771303.

3031772112 is digitally balanced in base 2 and base 4, because in such bases 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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3031772113) 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, 429798 + ... + 436794.

It is an arithmetic number, because the mean of its divisors is an integer number (58573260).

Almost surely, 23031772112 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 3031772112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4685860800).

3031772112 is an abundant number, since it is smaller than the sum of its proper divisors (6339949488).

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

3031772112 is a wasteful number, since it uses less digits than its factorization.

3031772112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7090 (or 7078 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 3031772112 is about 55061.5302366362. The cubic root of 3031772112 is about 1447.3231806351.

The spelling of 3031772112 in words is "three billion, thirty-one million, seven hundred seventy-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 59 68 72 102 108 118 136 144 153 177 204 216 236 272 306 354 408 432 459 472 531 612 708 816 918 944 1003 1062 1224 1416 1593 1836 2006 2124 2448 2832 3009 3186 3672 4012 4248 6018 6372 6997 7344 8024 8496 9027 12036 12744 13994 16048 18054 20991 24072 25488 27081 27988 36108 41982 48144 54162 55976 62973 72216 83964 108324 111952 118949 125946 144432 167928 188919 216648 237898 251892 335856 356847 377838 412823 433296 475796 503784 713694 755676 825646 951592 1007568 1070541 1238469 1427388 1511352 1651292 1903184 2141082 2476938 2854776 3022704 3211623 3302584 3715407 4282164 4953876 5709552 6423246 6605168 7017991 7430814 8564328 9907752 11146221 12846492 14035982 14861628 17128656 19815504 21053973 22292442 25692984 28071964 29723256 42107946 44584884 51385968 56143928 59446512 63161919 84215892 89169768 112287856 126323838 168431784 178339536 189485757 252647676 336863568 378971514 505295352 757943028 1010590704 1515886056 3031772112