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103020220201032 = 23325804924648769
BaseRepresentation
bin10111011011001001000011…
…101000010011100001001000
3111111202122012021110110000100
4113123021003220103201020
5102000340402332413112
61003034500311205400
730461652044234631
oct2733110350234110
9444678167413010
10103020220201032
112a9096a26321a2
12b67a013376860
1345639c3b5b834
141b622c3350888
15bd9bd42792dc
hex5db243a13848

103020220201032 has 48 divisors (see below), whose sum is σ = 279017914207500. Its totient is φ = 34339480436736.

The previous prime is 103020220201001. The next prime is 103020220201133. The reversal of 103020220201032 is 230102022020301.

It can be written as a sum of positive squares in 2 ways, for example, as 93467632993956 + 9552587207076 = 9667866^2 + 3090726^2 .

It is a super-2 number, since 2×1030202202010322 (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 = 103020220200996 and 103020220201014.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8144857 + ... + 16503912.

Almost surely, 2103020220201032 is an apocalyptic number.

103020220201032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103020220201032 is an abundant number, since it is smaller than the sum of its proper divisors (175997694006468).

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

103020220201032 is a wasteful number, since it uses less digits than its factorization.

103020220201032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24706830 (or 24706823 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 103020220201032 its reverse (230102022020301), we get a palindrome (333122242221333).

The spelling of 103020220201032 in words is "one hundred three trillion, twenty billion, two hundred twenty million, two hundred one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 58049 116098 174147 232196 348294 464392 522441 696588 1044882 1393176 2089764 4179528 24648769 49297538 73946307 98595076 147892614 197190152 221838921 295785228 443677842 591570456 887355684 1774711368 1430836391681 2861672783362 4292509175043 5723345566724 8585018350086 11446691133448 12877527525129 17170036700172 25755055050258 34340073400344 51510110100516 103020220201032