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102033435540 = 22353745961007
BaseRepresentation
bin101111100000110101…
…0101010101110010100
3100202100212220120102010
41133001222222232110
53132431024414130
6114512402344220
710241324615001
oct1370152525624
9322325816363
10102033435540
113a2aa23a343
121793695b070
139810b9273a
144d1d1408a8
1529c2a040b0
hex17c1aaab94

102033435540 has 48 divisors (see below), whose sum is σ = 293415075072. Its totient is φ = 26473539456.

The previous prime is 102033435509. The next prime is 102033435587. The reversal of 102033435540 is 45534330201.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 102033435498 and 102033435507.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 22978284 + ... + 22982723.

It is an arithmetic number, because the mean of its divisors is an integer number (6112814064).

Almost surely, 2102033435540 is an apocalyptic number.

102033435540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102033435540 is an abundant number, since it is smaller than the sum of its proper divisors (191381639532).

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

102033435540 is a wasteful number, since it uses less digits than its factorization.

102033435540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45961056 (or 45961054 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

Adding to 102033435540 its reverse (45534330201), we get a palindrome (147567765741).

The spelling of 102033435540 in words is "one hundred two billion, thirty-three million, four hundred thirty-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 2220 45961007 91922014 137883021 183844028 229805035 275766042 459610070 551532084 689415105 919220140 1378830210 1700557259 2757660420 3401114518 5101671777 6802229036 8502786295 10203343554 17005572590 20406687108 25508358885 34011145180 51016717770 102033435540