Search a number
-
+
103780850012840 = 235711132591929321
BaseRepresentation
bin10111100110001101011100…
…101100110001001010101000
3111121110100111212122101212202
4113212031130230301022220
5102100321140100402330
61004420133031555332
730600630132041120
oct2746153454611250
9447410455571782
10103780850012840
11300822362a8880
12b78151082bb48
1345ba65238b960
141b8b03ca11c80
15bee8a0ee0445
hex5e635cb312a8

103780850012840 has 128 divisors (see below), whose sum is σ = 313519770789120. Its totient is φ = 29859025766400.

The previous prime is 103780850012837. The next prime is 103780850012849. The reversal of 103780850012840 is 48210058087301.

It is not an unprimeable number, because it can be changed into a prime (103780850012849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1295924621 + ... + 1296004700.

It is an arithmetic number, because the mean of its divisors is an integer number (2449373209290).

Almost surely, 2103780850012840 is an apocalyptic number.

103780850012840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103780850012840 is an abundant number, since it is smaller than the sum of its proper divisors (209738920776280).

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

103780850012840 is a wasteful number, since it uses less digits than its factorization.

103780850012840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2591929363 (or 2591929359 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 47.

The spelling of 103780850012840 in words is "one hundred three trillion, seven hundred eighty billion, eight hundred fifty million, twelve thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 11 13 14 20 22 26 28 35 40 44 52 55 56 65 70 77 88 91 104 110 130 140 143 154 182 220 260 280 286 308 364 385 440 455 520 572 616 715 728 770 910 1001 1144 1430 1540 1820 2002 2860 3080 3640 4004 5005 5720 8008 10010 20020 40040 2591929321 5183858642 10367717284 12959646605 18143505247 20735434568 25919293210 28511222531 33695081173 36287010494 51838586420 57022445062 67390162346 72574020988 90717526235 103677172840 114044890124 134780324692 142556112655 145148041976 168475405865 181435052470 199578557717 228089780248 235865568211 269560649384 285112225310 336950811730 362870104940 370645892903 399157115434 471731136422 570224450620 673901623460 725740209880 741291785806 798314230868 943462272844 997892788585 1140448901240 1179327841055 1347803246920 1482583571612 1596628461736 1853229464515 1886924545688 1995785577170 2358655682110 2594521250321 2965167143224 3706458929030 3991571154340 4717311364220 5189042500642 7412917858060 7983142308680 9434622728440 10378085001284 12972606251605 14825835716120 20756170002568 25945212503210 51890425006420 103780850012840