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1903130112 = 29313191499
BaseRepresentation
bin111000101101111…
…0111011000000000
311220122002000201110
41301123313120000
512344200130422
6512502403320
765106224202
oct16133673000
94818060643
101903130112
118972a3904
12451430540
1324438b4c0
14140a80772
15b212a60c
hex716f7600

1903130112 has 160 divisors (see below), whose sum is σ = 5499648000. Its totient is φ = 581345280.

The previous prime is 1903130107. The next prime is 1903130143. The reversal of 1903130112 is 2110313091.

It is a super-2 number, since 2×19031301122 = 7243808446402265088, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3813639 + ... + 3814137.

It is an arithmetic number, because the mean of its divisors is an integer number (34372800).

Almost surely, 21903130112 is an apocalyptic number.

1903130112 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 1903130112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2749824000).

1903130112 is an abundant number, since it is smaller than the sum of its proper divisors (3596517888).

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

1903130112 is a wasteful number, since it uses less digits than its factorization.

1903130112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 21.

The square root of 1903130112 is about 43624.8795069969. The cubic root of 1903130112 is about 1239.2421036337.

The spelling of 1903130112 in words is "one billion, nine hundred three million, one hundred thirty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 191 192 208 256 312 382 384 416 499 512 573 624 764 768 832 998 1146 1248 1497 1528 1536 1664 1996 2292 2483 2496 2994 3056 3328 3992 4584 4966 4992 5988 6112 6487 6656 7449 7984 9168 9932 9984 11976 12224 12974 14898 15968 18336 19461 19864 19968 23952 24448 25948 29796 31936 36672 38922 39728 47904 48896 51896 59592 63872 73344 77844 79456 95309 95808 97792 103792 119184 127744 146688 155688 158912 190618 191616 207584 238368 255488 285927 293376 311376 317824 381236 383232 415168 476736 571854 622752 635648 762472 766464 830336 953472 1143708 1239017 1245504 1271296 1524944 1660672 1906944 2287416 2478034 2491008 3049888 3321344 3717051 3813888 4574832 4956068 4982016 6099776 7434102 9149664 9912136 9964032 12199552 14868204 18299328 19824272 24399104 29736408 36598656 39648544 48798208 59472816 73197312 79297088 118945632 146394624 158594176 237891264 317188352 475782528 634376704 951565056 1903130112