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103122023202 = 23211718982421
BaseRepresentation
bin110000000001010001…
…1010011001100100010
3100212011202021112221200
41200002203103030202
53142143214220302
6115212410502030
710310313506652
oct1400243231442
9325152245850
10103122023202
113a80876a370
1217b9b434916
139955578a53
144dc394c362
152a3838381c
hex18028d3322

103122023202 has 96 divisors (see below), whose sum is σ = 249956254080. Its totient is φ = 30462432000.

The previous prime is 103122023149. The next prime is 103122023243. The reversal of 103122023202 is 202320221301.

103122023202 is a `hidden beast` number, since 10 + 312 + 20 + 2 + 320 + 2 = 666.

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

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 47 ways as a sum of consecutive naturals, for example, 1209952 + ... + 1292372.

It is an arithmetic number, because the mean of its divisors is an integer number (2603710980).

Almost surely, 2103122023202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103122023202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124978127040).

103122023202 is an abundant number, since it is smaller than the sum of its proper divisors (146834230878).

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

103122023202 is a wasteful number, since it uses less digits than its factorization.

103122023202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82600 (or 82597 counting only the distinct ones).

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

Adding to 103122023202 its reverse (202320221301), we get a palindrome (305442244503).

The spelling of 103122023202 in words is "one hundred three billion, one hundred twenty-two million, twenty-three thousand, two hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 66 71 89 99 142 178 198 213 267 426 534 639 781 801 979 1278 1562 1602 1958 2343 2937 4686 5874 6319 7029 8811 12638 14058 17622 18957 37914 56871 69509 82421 113742 139018 164842 208527 247263 417054 494526 625581 741789 906631 1251162 1483578 1813262 2719893 5439786 5851891 7335469 8159679 11703782 14670938 16319358 17555673 22006407 35111346 44012814 52667019 64370801 66019221 80690159 105334038 128741602 132038442 161380318 193112403 242070477 386224806 484140954 520818299 579337209 726211431 1041636598 1158674418 1452422862 1562454897 3124909794 4687364691 5729001289 9374729382 11458002578 17187003867 34374007734 51561011601 103122023202