Search a number
-
+
10102001110000 = 24541735839307
BaseRepresentation
bin1001001100000000111000…
…1100000000101111110000
31022202202000211022111221021
42103000032030000233300
52311002344241010000
633252443434505224
72061563001436612
oct223001614005760
938682024274837
1010102001110000
1132452642a4738
121171a03895214
135837cb410607
1426cd21c56db2
15127b99bae11a
hex9300e300bf0

10102001110000 has 100 divisors (see below), whose sum is σ = 24599334561912. Its totient is φ = 4017442528000.

The previous prime is 10102001109983. The next prime is 10102001110051. The reversal of 10102001110000 is 1110020101.

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1189654 + ... + 4649653.

Almost surely, 210102001110000 is an apocalyptic number.

10102001110000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10102001110000 is an abundant number, since it is smaller than the sum of its proper divisors (14497333451912).

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

10102001110000 is an equidigital number, since it uses as much as digits as its factorization.

10102001110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5839508 (or 5839487 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 10102001110000 its reverse (1110020101), we get a palindrome (10103111130101).

The spelling of 10102001110000 in words is "ten trillion, one hundred two billion, one million, one hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 173 200 250 346 400 500 625 692 865 1000 1250 1384 1730 2000 2500 2768 3460 4325 5000 6920 8650 10000 13840 17300 21625 34600 43250 69200 86500 108125 173000 216250 346000 432500 865000 1730000 5839307 11678614 23357228 29196535 46714456 58393070 93428912 116786140 145982675 233572280 291965350 467144560 583930700 729913375 1010200111 1167861400 1459826750 2020400222 2335722800 2919653500 3649566875 4040800444 5051000555 5839307000 7299133750 8081600888 10102001110 11678614000 14598267500 16163201776 20204002220 25255002775 29196535000 40408004440 50510005550 58393070000 80816008880 101020011100 126275013875 202040022200 252550027750 404080044400 505100055500 631375069375 1010200111000 1262750138750 2020400222000 2525500277500 5051000555000 10102001110000