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103431111042 = 23767313117431
BaseRepresentation
bin110000001010011111…
…0011000000110000010
3100212222021212211202110
41200110332120012002
53143311331023132
6115303211400150
710321055636460
oct1402476300602
9325867784673
10103431111042
113a957190666
1218066a53056
1399a460916c
145012a09830
152a5558a1cc
hex1814f98182

103431111042 has 64 divisors (see below), whose sum is σ = 240711174144. Its totient is φ = 29017422720.

The previous prime is 103431111037. The next prime is 103431111079. The reversal of 103431111042 is 240111134301.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 822067 + ... + 939497.

It is an arithmetic number, because the mean of its divisors is an integer number (3761112096).

Almost surely, 2103431111042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103431111042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120355587072).

103431111042 is an abundant number, since it is smaller than the sum of its proper divisors (137280063102).

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

103431111042 is a wasteful number, since it uses less digits than its factorization.

103431111042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117823.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 103431111042 its reverse (240111134301), we get a palindrome (343542245343).

The spelling of 103431111042 in words is "one hundred three billion, four hundred thirty-one million, one hundred eleven thousand, forty-two".

Divisors: 1 2 3 6 7 14 21 42 67 134 201 313 402 469 626 938 939 1407 1878 2191 2814 4382 6573 13146 20971 41942 62913 117431 125826 146797 234862 293594 352293 440391 704586 822017 880782 1644034 2466051 4932102 7867877 15735754 23603631 36755903 47207262 55075139 73511806 110150278 110267709 165225417 220535418 257291321 330450834 514582642 771873963 1543747926 2462645501 4925291002 7387936503 14775873006 17238518507 34477037014 51715555521 103431111042