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103300012211220 = 223251152171723339
BaseRepresentation
bin10111011111001101101000…
…100010000111110000010100
3111112202101101110111020010100
4113133031220202013300110
5102014431411111224340
61003411212005054100
730521115413131146
oct2737155042076024
9445671343436110
10103300012211220
112aa0731a95a670
12b7042990b7330
1345841c318b906
141b71a66708c96
15be210c7d5830
hex5df368887c14

103300012211220 has 72 divisors (see below), whose sum is σ = 341829131323680. Its totient is φ = 25042427202240.

The previous prime is 103300012211219. The next prime is 103300012211257. The reversal of 103300012211220 is 22112210003301.

103300012211220 is a `hidden beast` number, since 10 + 3 + 300 + 0 + 122 + 11 + 220 = 666.

It is a super-2 number, since 2×1033000122112202 (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 103300012211193 and 103300012211202.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 26085859690 + ... + 26085863649.

It is an arithmetic number, because the mean of its divisors is an integer number (4747626823940).

Almost surely, 2103300012211220 is an apocalyptic number.

103300012211220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103300012211220 is an abundant number, since it is smaller than the sum of its proper divisors (238529119112460).

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

103300012211220 is a wasteful number, since it uses less digits than its factorization.

103300012211220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52171723365 (or 52171723360 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 103300012211220 its reverse (22112210003301), we get a palindrome (125412222214521).

The spelling of 103300012211220 in words is "one hundred three trillion, three hundred billion, twelve million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 52171723339 104343446678 156515170017 208686893356 260858616695 313030340034 469545510051 521717233390 573888956729 626060680068 782575850085 939091020102 1043434466780 1147777913458 1565151700170 1721666870187 1878182040204 2295555826916 2347727550255 2869444783645 3130303400340 3443333740374 4695455100510 5165000610561 5738889567290 6886667480748 8608334350935 9390910201020 10330001221122 11477779134580 17216668701870 20660002442244 25825003052805 34433337403740 51650006105610 103300012211220