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102023311300 = 22526122773679
BaseRepresentation
bin101111100000100010…
…0000010111111000100
3100202100011212012120021
41133001010002333010
53132420431430200
6114511401344524
710241142560161
oct1370104027704
9322304765507
10102023311300
113a2a45548a9
1217933498144
13980ba59471
144d1ba67068
1529c1ba441a
hex17c1102fc4

102023311300 has 72 divisors (see below), whose sum is σ = 226014284160. Its totient is φ = 39962947200.

The previous prime is 102023311253. The next prime is 102023311303. The reversal of 102023311300 is 3113320201.

It is not an unprimeable number, because it can be changed into a prime (102023311303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1347861 + ... + 1421539.

It is an arithmetic number, because the mean of its divisors is an integer number (3139087280).

Almost surely, 2102023311300 is an apocalyptic number.

102023311300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102023311300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113007142080).

102023311300 is an abundant number, since it is smaller than the sum of its proper divisors (123990972860).

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

102023311300 is a wasteful number, since it uses less digits than its factorization.

102023311300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73981 (or 73974 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 102023311300 its reverse (3113320201), we get a palindrome (105136631501).

The spelling of 102023311300 in words is "one hundred two billion, twenty-three million, three hundred eleven thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 122 227 244 305 454 610 908 1135 1220 1525 2270 3050 4540 5675 6100 11350 13847 22700 27694 55388 69235 73679 138470 147358 276940 294716 346175 368395 692350 736790 1384700 1473580 1841975 3683950 4494419 7367900 8988838 16725133 17977676 22472095 33450266 44944190 66900532 83625665 89888380 112360475 167251330 224720950 334502660 418128325 449441900 836256650 1020233113 1672513300 2040466226 4080932452 5101165565 10202331130 20404662260 25505827825 51011655650 102023311300