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101210002300 = 225211219143793
BaseRepresentation
bin101111001000010010…
…1100001001101111100
3100200020111110211100201
41132100211201031330
53124234230033200
6114254545333244
710212035553001
oct1362045411574
9320214424321
10101210002300
1139a17453800
1217747037224
13970c3c6834
144c81a358a8
15297559dc6a
hex179096137c

101210002300 has 108 divisors (see below), whose sum is σ = 242676217728. Its totient is φ = 36610112000.

The previous prime is 101210002277. The next prime is 101210002339. The reversal of 101210002300 is 3200012101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2289204 + ... + 2332996.

It is an arithmetic number, because the mean of its divisors is an integer number (2247002016).

Almost surely, 2101210002300 is an apocalyptic number.

101210002300 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 101210002300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121338108864).

101210002300 is an abundant number, since it is smaller than the sum of its proper divisors (141466215428).

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

101210002300 is a wasteful number, since it uses less digits than its factorization.

101210002300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44020 (or 44002 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 101210002300 its reverse (3200012101), we get a palindrome (104410014401).

The spelling of 101210002300 in words is "one hundred one billion, two hundred ten million, two thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 191 220 242 275 382 484 550 605 764 955 1100 1210 1910 2101 2420 3025 3820 4202 4775 6050 8404 9550 10505 12100 19100 21010 23111 42020 43793 46222 52525 87586 92444 105050 115555 175172 210100 218965 231110 437930 462220 481723 577775 875860 963446 1094825 1155550 1926892 2189650 2311100 2408615 4379300 4817230 5298953 8364463 9634460 10597906 12043075 16728926 21195812 24086150 26494765 33457852 41822315 48172300 52989530 83644630 92009093 105979060 132473825 167289260 184018186 209111575 264947650 368036372 418223150 460045465 529895300 836446300 920090930 1012100023 1840181860 2024200046 2300227325 4048400092 4600454650 5060500115 9200909300 10121000230 20242000460 25302500575 50605001150 101210002300