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102232233020 = 225167227134839
BaseRepresentation
bin101111100110110000…
…1000001010000111100
3100202212201222112021202
41133031201001100330
53133332422424040
6114544223315032
710246260433331
oct1371541012074
9322781875252
10102232233020
113a3a1480885
121799144ba78
139843118598
144d3b6cc988
1529d51c2015
hex17cd84143c

102232233020 has 48 divisors (see below), whose sum is σ = 216926277120. Its totient is φ = 40468659264.

The previous prime is 102232233011. The next prime is 102232233029. The reversal of 102232233020 is 20332232201.

It is an interprime number because it is at equal distance from previous prime (102232233011) and next prime (102232233029).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 102232232983 and 102232233001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102232233029) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 690761 + ... + 825599.

It is an arithmetic number, because the mean of its divisors is an integer number (4519297440).

Almost surely, 2102232233020 is an apocalyptic number.

102232233020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102232233020 is an abundant number, since it is smaller than the sum of its proper divisors (114694044100).

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

102232233020 is a wasteful number, since it uses less digits than its factorization.

102232233020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135242 (or 135240 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 102232233020 its reverse (20332232201), we get a palindrome (122564465221).

The spelling of 102232233020 in words is "one hundred two billion, two hundred thirty-two million, two hundred thirty-three thousand, twenty".

Divisors: 1 2 4 5 10 20 167 227 334 454 668 835 908 1135 1670 2270 3340 4540 37909 75818 134839 151636 189545 269678 379090 539356 674195 758180 1348390 2696780 22518113 30608453 45036226 61216906 90072452 112590565 122433812 153042265 225181130 306084530 450362260 612169060 5111611651 10223223302 20446446604 25558058255 51116116510 102232233020