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113225753040 = 24351959420851
BaseRepresentation
bin110100101110011000…
…1111110000111010000
3101211020220020012122220
41221130301332013100
53323341243044130
6124003140501040
711115561010161
oct1513461760720
9354226205586
10113225753040
1144022a93114
1219b3b0aa780
13a8a58b460a
1456a1793768
152e2a3d1410
hex1a5cc7e1d0

113225753040 has 160 divisors (see below), whose sum is σ = 375736665600. Its totient is φ = 28119513600.

The previous prime is 113225753033. The next prime is 113225753041. The reversal of 113225753040 is 40357522311.

It is a junction number, because it is equal to n+sod(n) for n = 113225752992 and 113225753010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113225753041) 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 31 ways as a sum of consecutive naturals, for example, 58615 + ... + 479465.

It is an arithmetic number, because the mean of its divisors is an integer number (2348354160).

Almost surely, 2113225753040 is an apocalyptic number.

113225753040 is a gapful number since it is divisible by the number (10) 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 113225753040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187868332800).

113225753040 is an abundant number, since it is smaller than the sum of its proper divisors (262510912560).

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

113225753040 is a wasteful number, since it uses less digits than its factorization.

113225753040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420945 (or 420939 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The spelling of 113225753040 in words is "one hundred thirteen billion, two hundred twenty-five million, seven hundred fifty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 59 60 76 80 95 114 118 120 152 177 190 228 236 240 285 295 304 354 380 456 472 570 590 708 760 885 912 944 1121 1140 1180 1416 1520 1770 2242 2280 2360 2832 3363 3540 4484 4560 4720 5605 6726 7080 8968 11210 13452 14160 16815 17936 22420 26904 33630 44840 53808 67260 89680 134520 269040 420851 841702 1262553 1683404 2104255 2525106 3366808 4208510 5050212 6312765 6733616 7996169 8417020 10100424 12625530 15992338 16834040 20200848 23988507 24830209 25251060 31984676 33668080 39980845 47977014 49660418 50502120 63969352 74490627 79961690 95954028 99320836 101004240 119942535 124151045 127938704 148981254 159923380 191908056 198641672 239885070 248302090 297962508 319846760 372453135 383816112 397283344 471773971 479770140 496604180 595925016 639693520 744906270 943547942 959540280 993208360 1191850032 1415321913 1489812540 1887095884 1919080560 1986416720 2358869855 2830643826 2979625080 3774191768 4717739710 5661287652 5959250160 7076609565 7548383536 9435479420 11322575304 14153219130 18870958840 22645150608 28306438260 37741917680 56612876520 113225753040