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103120133020 = 225891033371669
BaseRepresentation
bin110000000001001110…
…0000101101110011100
3100212011121201112002221
41200002130011232130
53142142223224040
6115212302155124
710310261445142
oct1400234055634
9325147645087
10103120133020
113a807699233
1217b9a882aa4
1399550665b8
144dc35b9592
152a3810d74a
hex1802705b9c

103120133020 has 96 divisors (see below), whose sum is σ = 221900515200. Its totient is φ = 40244649984.

The previous prime is 103120132991. The next prime is 103120133033. The reversal of 103120133020 is 20331021301.

It is a junction number, because it is equal to n+sod(n) for n = 103120132985 and 103120133003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61784746 + ... + 61786414.

It is an arithmetic number, because the mean of its divisors is an integer number (2311463700).

Almost surely, 2103120133020 is an apocalyptic number.

103120133020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103120133020 is an abundant number, since it is smaller than the sum of its proper divisors (118780382180).

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

103120133020 is a wasteful number, since it uses less digits than its factorization.

103120133020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2207 (or 2205 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 103120133020 its reverse (20331021301), we get a palindrome (123451154321).

The spelling of 103120133020 in words is "one hundred three billion, one hundred twenty million, one hundred thirty-three thousand, twenty".

Divisors: 1 2 4 5 10 20 89 103 178 206 337 356 412 445 515 674 890 1030 1348 1669 1685 1780 2060 3338 3370 6676 6740 8345 9167 16690 18334 29993 33380 34711 36668 45835 59986 69422 91670 119972 138844 148541 149965 171907 173555 183340 297082 299930 343814 347110 562453 594164 599860 687628 694220 742705 859535 1124906 1485410 1719070 2249812 2812265 2970820 3089279 3438140 5624530 6178558 11249060 12357116 15299723 15446395 30599446 30892790 50058317 57932659 61198892 61785580 76498615 100116634 115865318 152997230 200233268 231730636 250291585 289663295 305994460 500583170 579326590 1001166340 1158653180 5156006651 10312013302 20624026604 25780033255 51560066510 103120133020