Search a number
-
+
101021321322300 = 223522911611646129
BaseRepresentation
bin10110111110000011011011…
…111110001101111100111100
3111020200112200120120100110110
4112332003123332031330330
5101220113131224303200
6554504315423110020
730164356342142631
oct2676033376157474
9436615616510413
10101021321322300
112a2089a12a2095
12b3b6738142310
13444a36777b612
141ad365ac12188
15ba2be2ca4b50
hex5be0dbf8df3c

101021321322300 has 72 divisors (see below), whose sum is σ = 302367265225200. Its totient is φ = 26010087326720.

The previous prime is 101021321322263. The next prime is 101021321322319. The reversal of 101021321322300 is 3223123120101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5805814365 + ... + 5805831764.

It is an arithmetic number, because the mean of its divisors is an integer number (4199545350350).

Almost surely, 2101021321322300 is an apocalyptic number.

101021321322300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101021321322300 is an abundant number, since it is smaller than the sum of its proper divisors (201345943902900).

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

101021321322300 is a wasteful number, since it uses less digits than its factorization.

101021321322300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11611646175 (or 11611646168 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 101021321322300 its reverse (3223123120101), we get a palindrome (104244444442401).

The spelling of 101021321322300 in words is "one hundred one trillion, twenty-one billion, three hundred twenty-one million, three hundred twenty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 29 30 50 58 60 75 87 100 116 145 150 174 290 300 348 435 580 725 870 1450 1740 2175 2900 4350 8700 11611646129 23223292258 34834938387 46446584516 58058230645 69669876774 116116461290 139339753548 174174691935 232232922580 290291153225 336737737741 348349383870 580582306450 673475475482 696698767740 870873459675 1010213213223 1161164612900 1346950950964 1683688688705 1741746919350 2020426426446 3367377377410 3483493838700 4040852852892 5051066066115 6734754754820 8418443443525 10102132132230 16836886887050 20204264264460 25255330330575 33673773774100 50510660661150 101021321322300