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103022712 = 233313191931
BaseRepresentation
bin1100010010000…
…00000001111000
321011212002121000
412021000001320
5202333211322
614120045000
72360451522
oct611000170
9234762530
10103022712
1153176541
122a603760
13184615b0
14d97aa12
1590a03ac
hex6240078

103022712 has 128 divisors (see below), whose sum is σ = 324576000. Its totient is φ = 30015360.

The previous prime is 103022687. The next prime is 103022713. The reversal of 103022712 is 217220301.

It is a super-2 number, since 2×1030227122 = 21227358375669888, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103022713) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52387 + ... + 54317.

It is an arithmetic number, because the mean of its divisors is an integer number (2535750).

Almost surely, 2103022712 is an apocalyptic number.

103022712 is a gapful number since it is divisible by the number (12) 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 103022712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162288000).

103022712 is an abundant number, since it is smaller than the sum of its proper divisors (221553288).

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

103022712 is a wasteful number, since it uses less digits than its factorization.

103022712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1978 (or 1968 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 103022712 is about 10150.0104433444. The cubic root of 103022712 is about 468.7892664706.

The spelling of 103022712 in words is "one hundred three million, twenty-two thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 18 19 24 26 27 36 38 39 52 54 57 72 76 78 104 108 114 117 152 156 171 216 228 234 247 312 342 351 456 468 494 513 684 702 741 936 988 1026 1368 1404 1482 1931 1976 2052 2223 2808 2964 3862 4104 4446 5793 5928 6669 7724 8892 11586 13338 15448 17379 17784 23172 25103 26676 34758 36689 46344 50206 52137 53352 69516 73378 75309 100412 104274 110067 139032 146756 150618 200824 208548 220134 225927 293512 301236 330201 417096 440268 451854 476957 602472 660402 677781 880536 903708 953914 990603 1320804 1355562 1430871 1807416 1907828 1981206 2641608 2711124 2861742 3815656 3962412 4292613 5422248 5723484 7924824 8585226 11446968 12877839 17170452 25755678 34340904 51511356 103022712