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103022031120 = 24352331842311
BaseRepresentation
bin101111111110010010…
…1110111000100010000
3100211220210010102121020
41133330211313010100
53141442114443440
6115154435355440
710304660546601
oct1377445670420
9324823112536
10103022031120
113a767283888
1217b71a52b80
13993a938a38
144db455dda8
152a2e6d13d0
hex17fc977110

103022031120 has 80 divisors (see below), whose sum is σ = 320739149952. Its totient is φ = 27354618880.

The previous prime is 103022031083. The next prime is 103022031131. The reversal of 103022031120 is 21130220301.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×1030220311203 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 103022031120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 865236 + ... + 977075.

Almost surely, 2103022031120 is an apocalyptic number.

103022031120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103022031120 is an abundant number, since it is smaller than the sum of its proper divisors (217717118832).

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

103022031120 is a wasteful number, since it uses less digits than its factorization.

103022031120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1842560 (or 1842554 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 103022031120 its reverse (21130220301), we get a palindrome (124152251421).

The spelling of 103022031120 in words is "one hundred three billion, twenty-two million, thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 233 240 466 699 932 1165 1398 1864 2330 2796 3495 3728 4660 5592 6990 9320 11184 13980 18640 27960 55920 1842311 3684622 5526933 7369244 9211555 11053866 14738488 18423110 22107732 27634665 29476976 36846220 44215464 55269330 73692440 88430928 110538660 147384880 221077320 429258463 442154640 858516926 1287775389 1717033852 2146292315 2575550778 3434067704 4292584630 5151101556 6438876945 6868135408 8585169260 10302203112 12877753890 17170338520 20604406224 25755507780 34340677040 51511015560 103022031120