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1013214042 = 233179191201
BaseRepresentation
bin111100011001000…
…110101101011010
32121121112121101000
4330121012231122
54033340322132
6244312405430
734052114541
oct7431065532
92547477330
101013214042
1147aa29785
122433a6876
13131bb5949
14987cb158
155de4187c
hex3c646b5a

1013214042 has 64 divisors (see below), whose sum is σ = 2388614400. Its totient is φ = 317260800.

The previous prime is 1013214029. The next prime is 1013214049. The reversal of 1013214042 is 2404123101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1013214049) 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, 843042 + ... + 844242.

It is an arithmetic number, because the mean of its divisors is an integer number (37322100).

Almost surely, 21013214042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1013214042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1194307200).

1013214042 is an abundant number, since it is smaller than the sum of its proper divisors (1375400358).

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

1013214042 is a wasteful number, since it uses less digits than its factorization.

1013214042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2148 (or 2142 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1013214042 is about 31831.0232634768. The cubic root of 1013214042 is about 1004.3854206391.

Adding to 1013214042 its reverse (2404123101), we get a palindrome (3417337143).

The spelling of 1013214042 in words is "one billion, thirteen million, two hundred fourteen thousand, forty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 306 459 918 919 1201 1838 2402 2757 3603 5514 7206 8271 10809 15623 16542 20417 21618 24813 31246 32427 40834 46869 49626 61251 64854 93738 122502 140607 183753 281214 367506 421821 551259 843642 1102518 1103719 2207438 3311157 6622314 9933471 18763223 19866942 29800413 37526446 56289669 59600826 112579338 168869007 337738014 506607021 1013214042