Search a number
-
+
102223221133000 = 2353119293020103
BaseRepresentation
bin10111001111100010110010…
…110010001000111011001000
3111101221110000001002211210011
4113033202302302020323020
5101344311124102224000
61001224411031201304
730350245500026452
oct2717426262107310
9441843001084704
10102223221133000
112a631696415070
12b56b665b16234
1345067ba831966
141b358b77952d2
15bc40d96622ba
hex5cf8b2c88ec8

102223221133000 has 64 divisors (see below), whose sum is σ = 260948004520320. Its totient is φ = 37172080408000.

The previous prime is 102223221132973. The next prime is 102223221133013. The reversal of 102223221133000 is 331122322201.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4646499052 + ... + 4646521051.

It is an arithmetic number, because the mean of its divisors is an integer number (4077312570630).

Almost surely, 2102223221133000 is an apocalyptic number.

102223221133000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102223221133000 is an abundant number, since it is smaller than the sum of its proper divisors (158724783387320).

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

102223221133000 is a wasteful number, since it uses less digits than its factorization.

102223221133000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9293020135 (or 9293020121 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 102223221133000 its reverse (331122322201), we get a palindrome (102554343455201).

The spelling of 102223221133000 in words is "one hundred two trillion, two hundred twenty-three billion, two hundred twenty-one million, one hundred thirty-three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 2200 2750 5500 11000 9293020103 18586040206 37172080412 46465100515 74344160824 92930201030 102223221133 185860402060 204446442266 232325502575 371720804120 408892884532 464651005150 511116105665 817785769064 929302010300 1022232211330 1161627512875 1858604020600 2044464422660 2323255025750 2555580528325 4088928845320 4646510051500 5111161056650 9293020103000 10222322113300 12777902641625 20444644226600 25555805283250 51111610566500 102223221133000