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103234421420 = 225136712746663
BaseRepresentation
bin110000000100101000…
…0000100001010101100
3100212110120202222022122
41200021100010022230
53142411002441140
6115231503532112
710313150050364
oct1401120041254
9325416688278
10103234421420
113a866159859
1218010bba038
139972940880
144dd48499a4
152a43186ab5
hex18094042ac

103234421420 has 96 divisors (see below), whose sum is σ = 238824112128. Its totient is φ = 37251954432.

The previous prime is 103234421417. The next prime is 103234421441. The reversal of 103234421420 is 24124432301.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 103234421420.

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 31 ways as a sum of consecutive naturals, for example, 2189009 + ... + 2235671.

It is an arithmetic number, because the mean of its divisors is an integer number (2487751168).

Almost surely, 2103234421420 is an apocalyptic number.

103234421420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103234421420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119412056064).

103234421420 is an abundant number, since it is smaller than the sum of its proper divisors (135589690708).

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

103234421420 is a wasteful number, since it uses less digits than its factorization.

103234421420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46879 (or 46877 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 103234421420 its reverse (24124432301), we get a palindrome (127358853721).

The spelling of 103234421420 in words is "one hundred three billion, two hundred thirty-four million, four hundred twenty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 67 127 130 134 254 260 268 335 508 635 670 871 1270 1340 1651 1742 2540 3302 3484 4355 6604 8255 8509 8710 16510 17018 17420 33020 34036 42545 46663 85090 93326 110617 170180 186652 221234 233315 442468 466630 553085 606619 933260 1106170 1213238 2212340 2426476 3033095 3126421 5926201 6066190 6252842 11852402 12132380 12505684 15632105 23704804 29631005 31264210 40643473 59262010 62528420 77040613 81286946 118524020 154081226 162573892 203217365 308162452 385203065 397055467 406434730 770406130 794110934 812869460 1540812260 1588221868 1985277335 3970554670 5161721071 7941109340 10323442142 20646884284 25808605355 51617210710 103234421420