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1102157655400 = 235282910496337
BaseRepresentation
bin10000000010011101101…
…101110010110101101000
310220100212021002000111201
4100002131231302311220
5121024204324433100
62202154011333544
7142425331332034
oct20023555626550
93810767060451
101102157655400
1139547129947a
121597324512b4
137cc18b01b49
143b4b7c811c4
151da0a10636a
hex1009db72d68

1102157655400 has 96 divisors (see below), whose sum is σ = 2568458655000. Its totient is φ = 439842078720.

The previous prime is 1102157655371. The next prime is 1102157655419. The reversal of 1102157655400 is 45567512011.

It can be written as a sum of positive squares in 12 ways, for example, as 208463470084 + 893694185316 = 456578^2 + 945354^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1102157655400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173921032 + ... + 173927368.

Almost surely, 21102157655400 is an apocalyptic number.

1102157655400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1102157655400 is an abundant number, since it is smaller than the sum of its proper divisors (1466300999600).

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

1102157655400 is a wasteful number, since it uses less digits than its factorization.

1102157655400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8231 (or 8222 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 37.

The spelling of 1102157655400 in words is "one trillion, one hundred two billion, one hundred fifty-seven million, six hundred fifty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 829 1049 1658 2098 3316 4145 4196 5245 6337 6632 8290 8392 10490 12674 16580 20725 20980 25348 26225 31685 33160 41450 41960 50696 52450 63370 82900 104900 126740 158425 165800 209800 253480 316850 633700 869621 1267400 1739242 3478484 4348105 5253373 6647513 6956968 8696210 10506746 13295026 17392420 21013492 21740525 26266865 26590052 33237565 34784840 42026984 43481050 52533730 53180104 66475130 86962100 105067460 131334325 132950260 166187825 173924200 210134920 262668650 265900520 332375650 525337300 664751300 1050674600 1329502600 5510788277 11021576554 22043153108 27553941385 44086306216 55107882770 110215765540 137769706925 220431531080 275539413850 551078827700 1102157655400