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210141012 = 2231773103137
BaseRepresentation
bin11001000011001…
…11111101010100
3112122102021021110
430201213331110
5412244003022
632504015020
75131112004
oct1441477524
9478367243
10210141012
11a868a064
125a461470
13346c80c3
141dca2004
15136ae00c
hexc867f54

210141012 has 96 divisors (see below), whose sum is σ = 535272192. Its totient is φ = 63922176.

The previous prime is 210140999. The next prime is 210141017.

It is a happy number.

210141012 is nontrivially palindromic in base 10.

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

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210141017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1533808 + ... + 1533944.

It is an arithmetic number, because the mean of its divisors is an integer number (5575752).

Almost surely, 2210141012 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 210141012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267636096).

210141012 is an abundant number, since it is smaller than the sum of its proper divisors (325131180).

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

210141012 is a wasteful number, since it uses less digits than its factorization.

210141012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 210141012 is about 14496.2413059386. The cubic root of 210141012 is about 594.5252074648.

The spelling of 210141012 in words is "two hundred ten million, one hundred forty-one thousand, twelve".

Divisors: 1 2 3 4 6 12 17 34 51 68 73 102 103 137 146 204 206 219 274 292 309 411 412 438 548 618 822 876 1236 1241 1644 1751 2329 2482 3502 3723 4658 4964 5253 6987 7004 7446 7519 9316 10001 10506 13974 14111 14892 15038 20002 21012 22557 27948 28222 30003 30076 40004 42333 45114 56444 60006 84666 90228 120012 127823 169332 170017 239887 255646 340034 383469 479774 510051 511292 680068 719661 766938 959548 1020102 1030103 1439322 1533876 2040204 2060206 2878644 3090309 4120412 6180618 12361236 17511751 35023502 52535253 70047004 105070506 210141012