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103122102132 = 22347157289607
BaseRepresentation
bin110000000001010001…
…1100110011101110100
3100212011202102120020000
41200002203212131310
53142143224232012
6115212412311300
710310314256040
oct1400243463564
9325152376200
10103122102132
113a8088136a5
1217b9b472530
1399555a595a
144dc396d020
152a3839bddc
hex18028e6774

103122102132 has 120 divisors (see below), whose sum is σ = 310056641664. Its totient is φ = 29275691328.

The previous prime is 103122102107. The next prime is 103122102133. The reversal of 103122102132 is 231201221301.

103122102132 is a `hidden beast` number, since 10 + 312 + 210 + 2 + 132 = 666.

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 (103122102133) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 211273 + ... + 500879.

Almost surely, 2103122102132 is an apocalyptic number.

103122102132 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 103122102132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155028320832).

103122102132 is an abundant number, since it is smaller than the sum of its proper divisors (206934539532).

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

103122102132 is a wasteful number, since it uses less digits than its factorization.

103122102132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289787 (or 289776 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 103122102132 its reverse (231201221301), we get a palindrome (334323323433).

The spelling of 103122102132 in words is "one hundred three billion, one hundred twenty-two million, one hundred two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 157 162 189 252 314 324 378 471 567 628 756 942 1099 1134 1413 1884 2198 2268 2826 3297 4239 4396 5652 6594 8478 9891 12717 13188 16956 19782 25434 29673 39564 50868 59346 89019 118692 178038 289607 356076 579214 868821 1158428 1737642 2027249 2606463 3475284 4054498 5212926 6081747 7819389 8108996 10425852 12163494 15638778 18245241 23458167 24326988 31277556 36490482 45468299 46916334 54735723 72980964 90936598 93832668 109471446 136404897 164207169 181873196 218942892 272809794 318278093 328414338 409214691 545619588 636556186 656828676 818429382 954834279 1227644073 1273112372 1636858764 1909668558 2455288146 2864502837 3682932219 3819337116 4910576292 5729005674 7365864438 8593508511 11458011348 14731728876 17187017022 25780525533 34374034044 51561051066 103122102132