Search a number
-
+
119900103966720 = 216345721117229
BaseRepresentation
bin11011010000110001101011…
…000110110000000000000000
3120201112100010101202202020000
4123100301223012300000000
5111203420403103413340
61103001203010120000
734153332231001500
oct3320615306600000
9521470111682200
10119900103966720
1135227391999920
121154553a280000
1351b96ba31c3cc
1421872a5b53a00
15dcdd24605d30
hex6d0c6b1b0000

119900103966720 has 6120 divisors, whose sum is σ = 599458283083440. Its totient is φ = 22640181903360.

The previous prime is 119900103966677. The next prime is 119900103966739. The reversal of 119900103966720 is 27669301009911.

119900103966720 is a `hidden beast` number, since 1 + 199 + 0 + 0 + 1 + 0 + 396 + 67 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6120).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 4134486343666 + ... + 4134486343694.

Almost surely, 2119900103966720 is an apocalyptic number.

119900103966720 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 119900103966720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299729141541720).

119900103966720 is an abundant number, since it is smaller than the sum of its proper divisors (479558179116720).

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

119900103966720 is an equidigital number, since it uses as much as digits as its factorization.

119900103966720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 1102248, while the sum is 54.

The spelling of 119900103966720 in words is "one hundred nineteen trillion, nine hundred billion, one hundred three million, nine hundred sixty-six thousand, seven hundred twenty".