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10232010100 = 22521359133403
BaseRepresentation
bin10011000011110000…
…00001010101110100
3222102002022222011001
421201320001111310
5131423343310400
64411151253044
7511362436144
oct114170012564
928362288131
1010232010100
1143807806a4
121b9681a184
13c70aa1660
146d0cb8924
153ed43ba6a
hex261e01574

10232010100 has 72 divisors (see below), whose sum is σ = 24316881120. Its totient is φ = 3713911680.

The previous prime is 10232010097. The next prime is 10232010109. The reversal of 10232010100 is 101023201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10232010109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9999 + ... + 143401.

It is an arithmetic number, because the mean of its divisors is an integer number (337734460).

Almost surely, 210232010100 is an apocalyptic number.

10232010100 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 10232010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12158440560).

10232010100 is an abundant number, since it is smaller than the sum of its proper divisors (14084871020).

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

10232010100 is a wasteful number, since it uses less digits than its factorization.

10232010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133489 (or 133482 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 10232010100 its reverse (101023201), we get a palindrome (10333033301).

The spelling of 10232010100 in words is "ten billion, two hundred thirty-two million, ten thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 59 65 100 118 130 236 260 295 325 590 650 767 1180 1300 1475 1534 2950 3068 3835 5900 7670 15340 19175 38350 76700 133403 266806 533612 667015 1334030 1734239 2668060 3335075 3468478 6670150 6936956 7870777 8671195 13340300 15741554 17342390 31483108 34684780 39353885 43355975 78707770 86711950 102320101 157415540 173423900 196769425 204640202 393538850 409280404 511600505 787077700 1023201010 2046402020 2558002525 5116005050 10232010100