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10234203100 = 22521167138863
BaseRepresentation
bin10011000100000000…
…11000101111011100
3222102020110101101021
421202000120233130
5131424423444400
64411310253524
7511420201552
oct114200305734
928366411337
1010234203100
114381a392a0
121b974b72a4
13c7138b8a4
146d12c9bd2
153ed72171a
hex262018bdc

10234203100 has 72 divisors (see below), whose sum is σ = 24588926208. Its totient is φ = 3665956800.

The previous prime is 10234203041. The next prime is 10234203107. The reversal of 10234203100 is 130243201.

It is a happy number.

It is a super-2 number, since 2×102342031002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10234203107) 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, 4269 + ... + 143131.

It is an arithmetic number, because the mean of its divisors is an integer number (341512864).

Almost surely, 210234203100 is an apocalyptic number.

10234203100 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 10234203100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12294463104).

10234203100 is an abundant number, since it is smaller than the sum of its proper divisors (14354723108).

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

10234203100 is a wasteful number, since it uses less digits than its factorization.

10234203100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138955 (or 138948 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 10234203100 its reverse (130243201), we get a palindrome (10364446301).

The spelling of 10234203100 in words is "ten billion, two hundred thirty-four million, two hundred three thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 67 100 110 134 220 268 275 335 550 670 737 1100 1340 1474 1675 2948 3350 3685 6700 7370 14740 18425 36850 73700 138863 277726 555452 694315 1388630 1527493 2777260 3054986 3471575 6109972 6943150 7637465 9303821 13886300 15274930 18607642 30549860 37215284 38187325 46519105 76374650 93038210 102342031 152749300 186076420 204684062 232595525 409368124 465191050 511710155 930382100 1023420310 2046840620 2558550775 5117101550 10234203100