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112402033020 = 2234573993889
BaseRepresentation
bin110100010101110101…
…1101110100101111100
3101202010111020220020000
41220223223232211330
53320144410024040
6123345313354300
711056266342114
oct1505353564574
9352114226200
10112402033020
1143740021072
121994b268990
13a7a4048014
145624212044
152dcce21130
hex1a2baee97c

112402033020 has 120 divisors (see below), whose sum is σ = 353090245200. Its totient is φ = 29932996608.

The previous prime is 112402033001. The next prime is 112402033033. The reversal of 112402033020 is 20330204211.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 112402032984 and 112402033002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1150236 + ... + 1244124.

It is an arithmetic number, because the mean of its divisors is an integer number (2942418710).

Almost surely, 2112402033020 is an apocalyptic number.

112402033020 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 112402033020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176545122600).

112402033020 is an abundant number, since it is smaller than the sum of its proper divisors (240688212180).

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

112402033020 is a wasteful number, since it uses less digits than its factorization.

112402033020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94649 (or 94638 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 112402033020 its reverse (20330204211), we get a palindrome (132732237231).

The spelling of 112402033020 in words is "one hundred twelve billion, four hundred two million, thirty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 739 810 1478 1620 2217 2956 3695 4434 6651 7390 8868 11085 13302 14780 19953 22170 26604 33255 39906 44340 59859 66510 79812 93889 99765 119718 133020 187778 199530 239436 281667 299295 375556 399060 469445 563334 598590 845001 938890 1126668 1197180 1408335 1690002 1877780 2535003 2816670 3380004 4225005 5070006 5633340 7605009 8450010 10140012 12675015 15210018 16900020 25350030 30420036 38025045 50700060 69383971 76050090 138767942 152100180 208151913 277535884 346919855 416303826 624455739 693839710 832607652 1040759565 1248911478 1387679420 1873367217 2081519130 2497822956 3122278695 3746734434 4163038260 5620101651 6244557390 7493468868 9366836085 11240203302 12489114780 18733672170 22480406604 28100508255 37467344340 56201016510 112402033020