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1013431110 = 235374192179
BaseRepresentation
bin111100011001111…
…011101101000110
32121121221122010120
4330121323231012
54033414243420
6244321202410
734054010436
oct7431735506
92547848116
101013431110
1148006787a
12243490406
13131c606a3
14988462c6
155de85d40
hex3c67bb46

1013431110 has 64 divisors (see below), whose sum is σ = 2505081600. Its totient is φ = 262196352.

The previous prime is 1013431109. The next prime is 1013431151. The reversal of 1013431110 is 111343101.

It is a super-2 number, since 2×10134311102 = 2054085229431664200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1013431110.

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, 464001 + ... + 466179.

It is an arithmetic number, because the mean of its divisors is an integer number (39141900).

Almost surely, 21013431110 is an apocalyptic number.

1013431110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1013431110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1252540800).

1013431110 is an abundant number, since it is smaller than the sum of its proper divisors (1491650490).

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

1013431110 is a wasteful number, since it uses less digits than its factorization.

1013431110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2645.

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 1013431110 is about 31834.4327733352. The cubic root of 1013431110 is about 1004.4571410450.

Adding to 1013431110 its reverse (111343101), we get a palindrome (1124774211).

The spelling of 1013431110 in words is "one billion, thirteen million, four hundred thirty-one thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 185 222 370 419 555 838 1110 1257 2095 2179 2514 4190 4358 6285 6537 10895 12570 13074 15503 21790 31006 32685 46509 65370 77515 80623 93018 155030 161246 232545 241869 403115 465090 483738 806230 913001 1209345 1826002 2418690 2739003 4565005 5478006 9130010 13695015 27390030 33781037 67562074 101343111 168905185 202686222 337810370 506715555 1013431110