Search a number
-
+
101221123320 = 23325281169787
BaseRepresentation
bin101111001000100111…
…1111100010011111000
3100200021021101211112100
41132101033330103320
53124300101421240
6114300023543400
710212232231542
oct1362117742370
9320237354470
10101221123320
1139a2275a129
121774a8bab60
1397117bb715
144c832cc692
152976548e30
hex17913fc4f8

101221123320 has 48 divisors (see below), whose sum is σ = 328968651960. Its totient is φ = 26992299456.

The previous prime is 101221123309. The next prime is 101221123357. The reversal of 101221123320 is 23321122101.

101221123320 is a `hidden beast` number, since 1 + 0 + 1 + 221 + 123 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101221123293 and 101221123302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 140584534 + ... + 140585253.

Almost surely, 2101221123320 is an apocalyptic number.

101221123320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101221123320 is an abundant number, since it is smaller than the sum of its proper divisors (227747528640).

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

101221123320 is a wasteful number, since it uses less digits than its factorization.

101221123320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281169804 (or 281169797 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 101221123320 its reverse (23321122101), we get a palindrome (124542245421).

The spelling of 101221123320 in words is "one hundred one billion, two hundred twenty-one million, one hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 281169787 562339574 843509361 1124679148 1405848935 1687018722 2249358296 2530528083 2811697870 3374037444 4217546805 5061056166 5623395740 6748074888 8435093610 10122112332 11246791480 12652640415 16870187220 20244224664 25305280830 33740374440 50610561660 101221123320