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123130101000 = 23353277148171
BaseRepresentation
bin111001010101100100…
…0000011110100001000
3102202211011000012212010
41302223020003310020
54004132301213000
6132322025215520
711616164406204
oct1625310036410
9382734005763
10123130101000
1148245806355
121ba440315a0
13b7c382133a
145d60d37b04
153309b97d50
hex1cab203d08

123130101000 has 128 divisors (see below), whose sum is σ = 385555397760. Its totient is φ = 32715936000.

The previous prime is 123130100993. The next prime is 123130101013. The reversal of 123130101000 is 101031321.

It is a super-2 number, since 2×1231301010002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 756915 + ... + 905085.

It is an arithmetic number, because the mean of its divisors is an integer number (3012151545).

Almost surely, 2123130101000 is an apocalyptic number.

123130101000 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 123130101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192777698880).

123130101000 is an abundant number, since it is smaller than the sum of its proper divisors (262425296760).

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

123130101000 is a wasteful number, since it uses less digits than its factorization.

123130101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148472 (or 148458 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 123130101000 its reverse (101031321), we get a palindrome (123231132321).

The spelling of 123130101000 in words is "one hundred twenty-three billion, one hundred thirty million, one hundred one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 277 300 375 500 554 600 750 831 1000 1108 1385 1500 1662 2216 2770 3000 3324 4155 5540 6648 6925 8310 11080 13850 16620 20775 27700 33240 34625 41550 55400 69250 83100 103875 138500 148171 166200 207750 277000 296342 415500 444513 592684 740855 831000 889026 1185368 1481710 1778052 2222565 2963420 3556104 3704275 4445130 5926840 7408550 8890260 11112825 14817100 17780520 18521375 22225650 29634200 37042750 41043367 44451300 55564125 74085500 82086734 88902600 111128250 123130101 148171000 164173468 205216835 222256500 246260202 328346936 410433670 444513000 492520404 615650505 820867340 985040808 1026084175 1231301010 1641734680 2052168350 2462602020 3078252525 4104336700 4925204040 5130420875 6156505050 8208673400 10260841750 12313010100 15391262625 20521683500 24626020200 30782525250 41043367000 61565050500 123130101000