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103323203011020 = 223541361311625049
BaseRepresentation
bin10111011111100011001110…
…110100000000000111001100
3111112211121020200001220211110
4113133203032310000013030
5102020321404432323040
61003430005120252020
730522566201516316
oct2737431664000714
9445747220056743
10103323203011020
112aa16140518813
12b70888b771010
13458644a933565
141b72c266a27b6
15be2a18733980
hex5df8ced001cc

103323203011020 has 96 divisors (see below), whose sum is σ = 296443239019200. Its totient is φ = 26873390960640.

The previous prime is 103323203011013. The next prime is 103323203011069. The reversal of 103323203011020 is 20110302323301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3075456 + ... + 14700504.

It is an arithmetic number, because the mean of its divisors is an integer number (3087950406450).

Almost surely, 2103323203011020 is an apocalyptic number.

103323203011020 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 103323203011020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148221619509600).

103323203011020 is an abundant number, since it is smaller than the sum of its proper divisors (193120036008180).

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

103323203011020 is a wasteful number, since it uses less digits than its factorization.

103323203011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11628715 (or 11628713 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 103323203011020 its reverse (20110302323301), we get a palindrome (123433505334321).

The spelling of 103323203011020 in words is "one hundred three trillion, three hundred twenty-three billion, two hundred three million, eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 410 492 615 820 1230 2460 3613 7226 10839 14452 18065 21678 36130 43356 54195 72260 108390 148133 216780 296266 444399 592532 740665 888798 1481330 1777596 2221995 2962660 4443990 8887980 11625049 23250098 34875147 46500196 58125245 69750294 116250490 139500588 174375735 232500980 348751470 476627009 697502940 953254018 1429881027 1906508036 2383135045 2859762054 4766270090 5719524108 7149405135 9532540180 14298810270 28597620540 42001302037 84002604074 126003906111 168005208148 210006510185 252007812222 420013020370 504015624444 630019530555 840026040740 1260039061110 1722053383517 2520078122220 3444106767034 5166160150551 6888213534068 8610266917585 10332320301102 17220533835170 20664640602204 25830800752755 34441067670340 51661601505510 103323203011020