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102032211240 = 233252053138053
BaseRepresentation
bin101111100000110010…
…1111111110100101000
3100202100210121100222200
41133001211333310220
53132430221224430
6114512320220200
710241311325421
oct1370145776450
9322323540880
10102032211240
113a2a9583523
121793646a660
1398108543bb
144d1cd02648
1529c2861460
hex17c197fd28

102032211240 has 96 divisors (see below), whose sum is σ = 331768611720. Its totient is φ = 27195139584.

The previous prime is 102032211143. The next prime is 102032211263. The reversal of 102032211240 is 42112230201.

It is a happy number.

102032211240 is a `hidden beast` number, since 1 + 0 + 203 + 221 + 1 + 240 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 97190556516 + 4841654724 = 311754^2 + 69582^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 670054 + ... + 808106.

Almost surely, 2102032211240 is an apocalyptic number.

102032211240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102032211240 is an abundant number, since it is smaller than the sum of its proper divisors (229736400480).

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

102032211240 is a wasteful number, since it uses less digits than its factorization.

102032211240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140123 (or 140116 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 102032211240 its reverse (42112230201), we get a palindrome (144144441441).

The spelling of 102032211240 in words is "one hundred two billion, thirty-two million, two hundred eleven thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 2053 4106 6159 8212 10265 12318 16424 18477 20530 24636 30795 36954 41060 49272 61590 73908 82120 92385 123180 138053 147816 184770 246360 276106 369540 414159 552212 690265 739080 828318 1104424 1242477 1380530 1656636 2070795 2484954 2761060 3313272 4141590 4969908 5522120 6212385 8283180 9939816 12424770 16566360 24849540 49699080 283422809 566845618 850268427 1133691236 1417114045 1700536854 2267382472 2550805281 2834228090 3401073708 4251342135 5101610562 5668456180 6802147416 8502684270 10203221124 11336912360 12754026405 17005368540 20406442248 25508052810 34010737080 51016105620 102032211240