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106773753000 = 23353172093603
BaseRepresentation
bin110001101110000110…
…1100010110010101000
3101012121020122122111110
41203130031202302220
53222133040044000
6121015020030320
710466644632345
oct1433415426250
9335536578443
10106773753000
1141311aaaa82
121883a3923a0
13a0b7c9b705
14524c9257cc
152b9dc62850
hex18dc362ca8

106773753000 has 128 divisors (see below), whose sum is σ = 352730401920. Its totient is φ = 26798105600.

The previous prime is 106773752999. The next prime is 106773753019. The reversal of 106773753000 is 357377601.

It is a super-2 number, since 2×1067737530002 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106773753000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 995802 + ... + 1097801.

It is an arithmetic number, because the mean of its divisors is an integer number (2755706265).

Almost surely, 2106773753000 is an apocalyptic number.

106773753000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106773753000 is an abundant number, since it is smaller than the sum of its proper divisors (245956648920).

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

106773753000 is a wasteful number, since it uses less digits than its factorization.

106773753000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2093644 (or 2093630 counting only the distinct ones).

The product of its (nonzero) digits is 92610, while the sum is 39.

The spelling of 106773753000 in words is "one hundred six billion, seven hundred seventy-three million, seven hundred fifty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 25 30 34 40 50 51 60 68 75 85 100 102 120 125 136 150 170 200 204 250 255 300 340 375 408 425 500 510 600 680 750 850 1000 1020 1275 1500 1700 2040 2125 2550 3000 3400 4250 5100 6375 8500 10200 12750 17000 25500 51000 2093603 4187206 6280809 8374412 10468015 12561618 16748824 20936030 25123236 31404045 35591251 41872060 50246472 52340075 62808090 71182502 83744120 104680150 106773753 125616180 142365004 157020225 177956255 209360300 213547506 251232360 261700375 284730008 314040450 355912510 418720600 427095012 523400750 533868765 628080900 711825020 785101125 854190024 889781275 1046801500 1067737530 1256161800 1423650040 1570202250 1779562550 2093603000 2135475060 2669343825 3140404500 3559125100 4270950120 4448906375 5338687650 6280809000 7118250200 8897812750 10677375300 13346719125 17795625500 21354750600 26693438250 35591251000 53386876500 106773753000