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103120333002 = 232127433104179
BaseRepresentation
bin110000000001001110…
…0110110100011001010
3100212011122002200102200
41200002130312203022
53142142301124002
6115212310341030
710310263240161
oct1400234664312
9325148080380
10103120333002
113a807815505
1217b9a95a776
13995510662b
144dc362c3d8
152a3814cb1c
hex18027368ca

103120333002 has 48 divisors (see below), whose sum is σ = 225708887040. Its totient is φ = 34023701376.

The previous prime is 103120332983. The next prime is 103120333061. The reversal of 103120333002 is 200333021301.

It is a super-4 number, since 4×1031203330024 (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 937749 + ... + 1041927.

It is an arithmetic number, because the mean of its divisors is an integer number (4702268480).

Almost surely, 2103120333002 is an apocalyptic number.

103120333002 is an abundant number, since it is smaller than the sum of its proper divisors (122588554038).

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

103120333002 is a wasteful number, since it uses less digits than its factorization.

103120333002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104747 (or 104744 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 103120333002 its reverse (200333021301), we get a palindrome (303453354303).

The spelling of 103120333002 in words is "one hundred three billion, one hundred twenty million, three hundred thirty-three thousand, two".

Divisors: 1 2 3 6 9 18 127 254 381 433 762 866 1143 1299 2286 2598 3897 7794 54991 104179 109982 164973 208358 312537 329946 494919 625074 937611 989838 1875222 13230733 26461466 39692199 45109507 79384398 90219014 119076597 135328521 238153194 270657042 405985563 811971126 5728907389 11457814778 17186722167 34373444334 51560166501 103120333002