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113144412000120 = 233529168711927139
BaseRepresentation
bin11001101110011101111100…
…011111000100111101111000
3112211121111111121110202200020
4121232131330133010331320
5104312224223433000440
61040345454133410440
732555262001521234
oct3156357437047570
9484544447422606
10113144412000120
11330623039a5aa6
121083418a799a20
134b1961a7683b7
141dd230c3c55c4
15d1322c1823d0
hex66e77c7c4f78

113144412000120 has 128 divisors (see below), whose sum is σ = 351158825664000. Its totient is φ = 29129692981760.

The previous prime is 113144412000107. The next prime is 113144412000163. The reversal of 113144412000120 is 21000214441311.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57747511 + ... + 59674649.

It is an arithmetic number, because the mean of its divisors is an integer number (2743428325500).

Almost surely, 2113144412000120 is an apocalyptic number.

113144412000120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113144412000120 is an abundant number, since it is smaller than the sum of its proper divisors (238014413663880).

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

113144412000120 is a wasteful number, since it uses less digits than its factorization.

113144412000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1944053 (or 1944049 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 113144412000120 its reverse (21000214441311), we get a palindrome (134144626441431).

The spelling of 113144412000120 in words is "one hundred thirteen trillion, one hundred forty-four billion, four hundred twelve million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 290 348 435 580 696 870 1160 1740 3480 16871 33742 50613 67484 84355 101226 134968 168710 202452 253065 337420 404904 489259 506130 674840 978518 1012260 1467777 1927139 1957036 2024520 2446295 2935554 3854278 3914072 4892590 5781417 5871108 7338885 7708556 9635695 9785180 11562834 11742216 14677770 15417112 19271390 19570360 23125668 28907085 29355540 38542780 46251336 55887031 57814170 58711080 77085560 111774062 115628340 167661093 223548124 231256680 279435155 335322186 447096248 558870310 670644372 838305465 1117740620 1341288744 1676610930 2235481240 3353221860 6706443720 32512762069 65025524138 97538286207 130051048276 162563810345 195076572414 260102096552 325127620690 390153144828 487691431035 650255241380 780306289656 942870100001 975382862070 1300510482760 1885740200002 1950765724140 2828610300003 3771480400004 3901531448280 4714350500005 5657220600006 7542960800008 9428701000010 11314441200012 14143051500015 18857402000020 22628882400024 28286103000030 37714804000040 56572206000060 113144412000120