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23010333113000 = 2353971791325251
BaseRepresentation
bin1010011101101100000101…
…01110110011101010101000
310000110202200200022022100202
411032312002232303222220
511004000130234104000
6120534445012051332
74563304335212612
oct516660256635250
9100422620268322
1023010333113000
11737169a189522
1226b7682003b48
13cabb32823a8c
145979c5629db2
1529d841837dd5
hex14ed82bb3aa8

23010333113000 has 128 divisors (see below), whose sum is σ = 54703221955200. Its totient is φ = 9058348800000.

The previous prime is 23010333112981. The next prime is 23010333113021. The reversal of 23010333113000 is 31133301032.

23010333113000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16700375 + ... + 18025625.

It is an arithmetic number, because the mean of its divisors is an integer number (427368921525).

Almost surely, 223010333113000 is an apocalyptic number.

23010333113000 is a gapful number since it is divisible by the number (20) 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 23010333113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27351610977600).

23010333113000 is an abundant number, since it is smaller than the sum of its proper divisors (31692888842200).

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

23010333113000 is a wasteful number, since it uses less digits than its factorization.

23010333113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1325548 (or 1325534 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 23010333113000 its reverse (31133301032), we get a palindrome (23041466414032).

The spelling of 23010333113000 in words is "twenty-three trillion, ten billion, three hundred thirty-three million, one hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 97 100 125 179 194 200 250 358 388 485 500 716 776 895 970 1000 1432 1790 1940 2425 3580 3880 4475 4850 7160 8950 9700 12125 17363 17900 19400 22375 24250 34726 35800 44750 48500 69452 86815 89500 97000 138904 173630 179000 347260 434075 694520 868150 1325251 1736300 2170375 2650502 3472600 4340750 5301004 6626255 8681500 10602008 13252510 17363000 26505020 33131275 53010040 66262550 128549347 132525100 165656375 237219929 257098694 265050200 331312750 474439858 514197388 642746735 662625500 948879716 1028394776 1186099645 1285493470 1325251000 1897759432 2372199290 2570986940 3213733675 4744398580 5141973880 5930498225 6427467350 9488797160 11860996450 12854934700 16068668375 23010333113 23721992900 25709869400 29652491125 32137336750 46020666226 47443985800 59304982250 64274673500 92041332452 115051665565 118609964500 128549347000 184082664904 230103331130 237219929000 460206662260 575258327825 920413324520 1150516655650 2301033311300 2876291639125 4602066622600 5752583278250 11505166556500 23010333113000