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202311012 = 223194432003
BaseRepresentation
bin11000000111100…
…00010101100100
3112002200110112110
430003300111210
5403242423022
632024121020
75004421011
oct1403602544
9462613473
10202311012
11a4221292
1257906170
1332bb6177
141cc24708
1512b6400c
hexc0f0564

202311012 has 48 divisors (see below), whose sum is σ = 498274560. Its totient is φ = 63711648.

The previous prime is 202310987. The next prime is 202311037. The reversal of 202311012 is 210113202.

It is an interprime number because it is at equal distance from previous prime (202310987) and next prime (202311037).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100003 + ... + 102005.

It is an arithmetic number, because the mean of its divisors is an integer number (10380720).

Almost surely, 2202311012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202311012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249137280).

202311012 is an abundant number, since it is smaller than the sum of its proper divisors (295963548).

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

202311012 is a wasteful number, since it uses less digits than its factorization.

202311012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2472 (or 2470 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 202311012 is about 14223.6075592657. The cubic root of 202311012 is about 587.0474070913.

Adding to 202311012 its reverse (210113202), we get a palindrome (412424214).

The spelling of 202311012 in words is "two hundred two million, three hundred eleven thousand, twelve".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 443 886 1329 1772 2003 2658 4006 5316 6009 8012 8417 12018 16834 24036 25251 33668 38057 50502 76114 101004 114171 152228 228342 456684 887329 1774658 2661987 3549316 5323974 10647948 16859251 33718502 50577753 67437004 101155506 202311012