Search a number
-
+
102220355014000 = 245351110177507
BaseRepresentation
bin10111001111100000000111…
…111100110000110101110000
3111101221011121021222220122121
4113033200013330300311300
5101344234241340422000
61001223214404244024
730350114455310416
oct2717400774606560
9441834537886577
10102220355014000
112a630455587483
12b56aba60a0614
134506451ac4562
141b356c4c7d2b6
15bc3ebcc16b1a
hex5cf807f30d70

102220355014000 has 40 divisors (see below), whose sum is σ = 247168818428688. Its totient is φ = 40888142004800.

The previous prime is 102220355013989. The next prime is 102220355014003. The reversal of 102220355014000 is 410553022201.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102220355014003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25555086754 + ... + 25555090753.

Almost surely, 2102220355014000 is an apocalyptic number.

102220355014000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102220355014000 is an abundant number, since it is smaller than the sum of its proper divisors (144948463414688).

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

102220355014000 is an equidigital number, since it uses as much as digits as its factorization.

102220355014000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51110177530 (or 51110177514 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The spelling of 102220355014000 in words is "one hundred two trillion, two hundred twenty billion, three hundred fifty-five million, fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 51110177507 102220355014 204440710028 255550887535 408881420056 511101775070 817762840112 1022203550140 1277754437675 2044407100280 2555508875350 4088814200560 5111017750700 6388772188375 10222035501400 12777544376750 20444071002800 25555088753500 51110177507000 102220355014000