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123303103220 = 225114098271657
BaseRepresentation
bin111001011010101110…
…0000000101011110100
3102210021012112122021202
41302311130000223310
54010011043300340
6132351125232032
711623365040643
oct1626534005364
9383235478252
10123303103220
11483244294a0
121ba91b62618
13b82061500b
145d79ccd35a
153319e6cc15
hex1cb5700af4

123303103220 has 96 divisors (see below), whose sum is σ = 283680351360. Its totient is φ = 44646819840.

The previous prime is 123303103219. The next prime is 123303103241. The reversal of 123303103220 is 22301303321.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 123303103192 and 123303103201.

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, 74412632 + ... + 74414288.

It is an arithmetic number, because the mean of its divisors is an integer number (2955003660).

Almost surely, 2123303103220 is an apocalyptic number.

123303103220 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 123303103220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141840175680).

123303103220 is an abundant number, since it is smaller than the sum of its proper divisors (160377248140).

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

123303103220 is a wasteful number, since it uses less digits than its factorization.

123303103220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2913 (or 2911 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 123303103220 its reverse (22301303321), we get a palindrome (145604406541).

The spelling of 123303103220 in words is "one hundred twenty-three billion, three hundred three million, one hundred three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 409 818 827 1636 1654 1657 2045 3308 3314 4090 4135 4499 6628 8180 8270 8285 8998 9097 16540 16570 17996 18194 18227 22495 33140 36388 36454 44990 45485 72908 89980 90970 91135 181940 182270 338243 364540 676486 677713 1352972 1355426 1370339 1691215 2710852 2740678 3382430 3388565 3720673 5481356 6764860 6777130 6851695 7441346 7454843 13554260 13703390 14882692 14909686 15073729 18603365 27406780 29819372 30147458 37206730 37274215 60294916 74413460 74548430 75368645 149096860 150737290 301474580 560468651 1120937302 2241874604 2802343255 5604686510 6165155161 11209373020 12330310322 24660620644 30825775805 61651551610 123303103220