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102330013241000 = 2353106995724989
BaseRepresentation
bin10111010001000110010000…
…000101101100111010101000
3111102022122122120022000121102
4113101012100011230322220
5101403033331342203000
61001345431544500532
730361046060000216
oct2721062005547250
9442278576260542
10102330013241000
112a672a07811466
12b5882aa47a748
1345138a9558acc
141b3ab288d7cb6
15bc6c89ced3d5
hex5d119016cea8

102330013241000 has 64 divisors (see below), whose sum is σ = 239676229962000. Its totient is φ = 40893714873600.

The previous prime is 102330013240993. The next prime is 102330013241011. The reversal of 102330013241000 is 142310033201.

It can be written as a sum of positive squares in 8 ways, for example, as 9001932103684 + 93328081137316 = 3000322^2 + 9660646^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46793495 + ... + 48931494.

Almost surely, 2102330013241000 is an apocalyptic number.

102330013241000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102330013241000 is an abundant number, since it is smaller than the sum of its proper divisors (137346216721000).

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

102330013241000 is a wasteful number, since it uses less digits than its factorization.

102330013241000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95726079 (or 95726065 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 102330013241000 its reverse (142310033201), we get a palindrome (102472323274201).

The spelling of 102330013241000 in words is "one hundred two trillion, three hundred thirty billion, thirteen million, two hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 1069 2138 4276 5345 8552 10690 21380 26725 42760 53450 106900 133625 213800 267250 534500 1069000 95724989 191449978 382899956 478624945 765799912 957249890 1914499780 2393124725 3828999560 4786249450 9572498900 11965623625 19144997800 23931247250 47862494500 95724989000 102330013241 204660026482 409320052964 511650066205 818640105928 1023300132410 2046600264820 2558250331025 4093200529640 5116500662050 10233001324100 12791251655125 20466002648200 25582503310250 51165006620500 102330013241000