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103015220 = 225711151443
BaseRepresentation
bin1100010001111…
…10001100110100
321011211201022112
412020332030310
5202332441340
614115550152
72360420630
oct610761464
9234751275
10103015220
1153170950
122a5bb358
131845b069
14d977dc0
15909d065
hex623e334

103015220 has 96 divisors (see below), whose sum is σ = 272111616. Its totient is φ = 31824000.

The previous prime is 103015217. The next prime is 103015267. The reversal of 103015220 is 22510301.

It is a happy number.

It is a super-2 number, since 2×1030152202 = 21224271103296800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 103015195 and 103015204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 232319 + ... + 232761.

It is an arithmetic number, because the mean of its divisors is an integer number (2834496).

Almost surely, 2103015220 is an apocalyptic number.

103015220 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 103015220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136055808).

103015220 is an abundant number, since it is smaller than the sum of its proper divisors (169096396).

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

103015220 is a wasteful number, since it uses less digits than its factorization.

103015220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 103015220 is about 10149.6413729747. The cubic root of 103015220 is about 468.7779024576. Note that the first 3 decimals are identical.

Adding to 103015220 its reverse (22510301), we get a palindrome (125525521).

The spelling of 103015220 in words is "one hundred three million, fifteen thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 151 154 220 302 308 385 443 604 755 770 886 1057 1510 1540 1661 1772 2114 2215 3020 3101 3322 4228 4430 4873 5285 6202 6644 8305 8860 9746 10570 11627 12404 15505 16610 19492 21140 23254 24365 31010 33220 34111 46508 48730 58135 62020 66893 68222 97460 116270 133786 136444 170555 232540 267572 334465 341110 468251 668930 682220 735823 936502 1337860 1471646 1873004 2341255 2943292 3679115 4682510 5150761 7358230 9365020 10301522 14716460 20603044 25753805 51507610 103015220