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10002102300 = 22325273152239
BaseRepresentation
bin10010101000010101…
…11111100000011100
3221211001201102221100
421110022333200130
5130441014233200
64332255433100
7502601316051
oct112412774034
927731642840
1010002102300
114272a20553
121b31825790
13c35275338
146ac54d028
153d8175d00
hex2542bf81c

10002102300 has 108 divisors (see below), whose sum is σ = 31780708960. Its totient is φ = 2630672640.

The previous prime is 10002102281. The next prime is 10002102307. The reversal of 10002102300 is 320120001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002102307) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10420 + ... + 141819.

Almost surely, 210002102300 is an apocalyptic number.

10002102300 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 10002102300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15890354480).

10002102300 is an abundant number, since it is smaller than the sum of its proper divisors (21778606660).

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

10002102300 is a wasteful number, since it uses less digits than its factorization.

10002102300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152332 (or 152322 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 10002102300 its reverse (320120001), we get a palindrome (10322222301).

The spelling of 10002102300 in words is "ten billion, two million, one hundred two thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 73 75 90 100 146 150 180 219 225 292 300 365 438 450 657 730 876 900 1095 1314 1460 1825 2190 2628 3285 3650 4380 5475 6570 7300 10950 13140 16425 21900 32850 65700 152239 304478 456717 608956 761195 913434 1370151 1522390 1826868 2283585 2740302 3044780 3805975 4567170 5480604 6850755 7611950 9134340 11113447 11417925 13701510 15223900 22226894 22835850 27403020 33340341 34253775 44453788 45671700 55567235 66680682 68507550 100021023 111134470 133361364 137015100 166701705 200042046 222268940 277836175 333403410 400084092 500105115 555672350 666806820 833508525 1000210230 1111344700 1667017050 2000420460 2500525575 3334034100 5001051150 10002102300