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10312132220 = 22513418391153
BaseRepresentation
bin10011001101010011…
…01010011001111100
3222121200002121000222
421212221222121330
5132104401212340
64423132440512
7513354451265
oct114651523174
928550077028
1010312132220
114411a25625
121bb9619138
13c845754b0
146db7b396c
154054b68b5
hex266a6a67c

10312132220 has 96 divisors (see below), whose sum is σ = 23939314560. Its totient is φ = 3707043840.

The previous prime is 10312132217. The next prime is 10312132279. The reversal of 10312132220 is 2223121301.

It is a congruent number.

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, 8943164 + ... + 8944316.

It is an arithmetic number, because the mean of its divisors is an integer number (249367860).

Almost surely, 210312132220 is an apocalyptic number.

10312132220 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 10312132220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11969657280).

10312132220 is an abundant number, since it is smaller than the sum of its proper divisors (13627182340).

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

10312132220 is a wasteful number, since it uses less digits than its factorization.

10312132220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2055 (or 2053 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 10312132220 its reverse (2223121301), we get a palindrome (12535253521).

The spelling of 10312132220 in words is "ten billion, three hundred twelve million, one hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 41 52 65 82 130 164 205 260 410 533 820 839 1066 1153 1678 2132 2306 2665 3356 4195 4612 5330 5765 8390 10660 10907 11530 14989 16780 21814 23060 29978 34399 43628 47273 54535 59956 68798 74945 94546 109070 137596 149890 171995 189092 218140 236365 299780 343990 447187 472730 614549 687980 894374 945460 967367 1229098 1788748 1934734 2235935 2458196 3072745 3869468 4471870 4836835 6145490 8943740 9673670 12290980 12575771 19347340 25151542 39662047 50303084 62878855 79324094 125757710 158648188 198310235 251515420 396620470 515606611 793240940 1031213222 2062426444 2578033055 5156066110 10312132220