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113021220700 = 225217197347933
BaseRepresentation
bin110100101000010010…
…1101111011101011100
3101210201122100220001001
41221100211233131130
53322431413030300
6123530553000044
711110525345033
oct1512045573534
9353648326031
10113021220700
1143a28594a23
1219aa26b3024
13a87240136b
14568255171a
152e1747e16a
hex1a5096f75c

113021220700 has 144 divisors (see below), whose sum is σ = 277100701920. Its totient is φ = 39756718080.

The previous prime is 113021220661. The next prime is 113021220701. The reversal of 113021220700 is 7022120311.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113021220701) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2333934 + ... + 2381866.

It is an arithmetic number, because the mean of its divisors is an integer number (1924310430).

Almost surely, 2113021220700 is an apocalyptic number.

113021220700 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 113021220700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138550350960).

113021220700 is an abundant number, since it is smaller than the sum of its proper divisors (164079481220).

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

113021220700 is a wasteful number, since it uses less digits than its factorization.

113021220700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48056 (or 48049 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The spelling of 113021220700 in words is "one hundred thirteen billion, twenty-one million, two hundred twenty thousand, seven hundred".

Divisors: 1 2 4 5 10 17 19 20 25 34 38 50 68 73 76 85 95 100 146 170 190 292 323 340 365 380 425 475 646 730 850 950 1241 1292 1387 1460 1615 1700 1825 1900 2482 2774 3230 3650 4964 5548 6205 6460 6935 7300 8075 12410 13870 16150 23579 24820 27740 31025 32300 34675 47158 47933 62050 69350 94316 95866 117895 124100 138700 191732 235790 239665 471580 479330 589475 814861 910727 958660 1178950 1198325 1629722 1821454 2357900 2396650 3259444 3499109 3642908 4074305 4553635 4793300 6998218 8148610 9107270 13996436 15482359 16297220 17495545 18214540 20371525 22768175 30964718 34991090 40743050 45536350 59484853 61929436 66483071 69982180 77411795 81486100 87477725 91072700 118969706 132966142 154823590 174955450 237939412 265932284 297424265 309647180 332415355 349910900 387058975 594848530 664830710 774117950 1130212207 1189697060 1329661420 1487121325 1548235900 1662076775 2260424414 2974242650 3324153550 4520848828 5651061035 5948485300 6648307100 11302122070 22604244140 28255305175 56510610350 113021220700