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10212140300 = 22522310143961
BaseRepresentation
bin10011000001011000…
…01110010100001100
3222100200221110220112
421200230032110030
5131403301442200
64405201335152
7511031521535
oct114054162414
928320843815
1010212140300
11437053a17a
121b900374b8
13c6993558b
146cc3c568c
153eb814535
hex260b0e50c

10212140300 has 72 divisors (see below), whose sum is σ = 23353317792. Its totient is φ = 3868480000.

The previous prime is 10212140293. The next prime is 10212140317. The reversal of 10212140300 is 304121201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 210320 + ... + 254280.

It is an arithmetic number, because the mean of its divisors is an integer number (324351636).

Almost surely, 210212140300 is an apocalyptic number.

10212140300 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 10212140300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11676658896).

10212140300 is an abundant number, since it is smaller than the sum of its proper divisors (13141177492).

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

10212140300 is a wasteful number, since it uses less digits than its factorization.

10212140300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44099 (or 44092 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 10212140300 its reverse (304121201), we get a palindrome (10516261501).

The spelling of 10212140300 in words is "ten billion, two hundred twelve million, one hundred forty thousand, three hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 101 115 202 230 404 460 505 575 1010 1150 2020 2300 2323 2525 4646 5050 9292 10100 11615 23230 43961 46460 58075 87922 116150 175844 219805 232300 439610 879220 1011103 1099025 2022206 2198050 4044412 4396100 4440061 5055515 8880122 10111030 17760244 20222060 22200305 25277575 44400610 50555150 88801220 101110300 102121403 111001525 204242806 222003050 408485612 444006100 510607015 1021214030 2042428060 2553035075 5106070150 10212140300