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100222323101020 = 225192378714570629
BaseRepresentation
bin10110110010011011010011…
…111101111000110101011100
3111010212011100000110020112101
4112302123103331320311130
5101114020304203213040
6553053255530214444
730052552411260361
oct2662332375706534
9433764300406471
10100222323101020
1129a3005966659a
12b2a7911284424
1343bcc03212923
141aa6b0193c468
15b8c02c8e609a
hex5b26d3f78d5c

100222323101020 has 96 divisors (see below), whose sum is σ = 231470193830400. Its totient is φ = 36281563110144.

The previous prime is 100222323100993. The next prime is 100222323101029. The reversal of 100222323101020 is 20101323222001.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100222323101029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 406935 + ... + 14163694.

It is an arithmetic number, because the mean of its divisors is an integer number (2411147852400).

Almost surely, 2100222323101020 is an apocalyptic number.

100222323101020 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 100222323101020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115735096915200).

100222323101020 is an abundant number, since it is smaller than the sum of its proper divisors (131247870729380).

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

100222323101020 is a wasteful number, since it uses less digits than its factorization.

100222323101020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14571467 (or 14571465 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 100222323101020 its reverse (20101323222001), we get a palindrome (120323646323021).

The spelling of 100222323101020 in words is "one hundred trillion, two hundred twenty-two billion, three hundred twenty-three million, one hundred one thousand, twenty".

Divisors: 1 2 4 5 10 19 20 23 38 46 76 92 95 115 190 230 380 437 460 787 874 1574 1748 2185 3148 3935 4370 7870 8740 14953 15740 18101 29906 36202 59812 72404 74765 90505 149530 181010 299060 343919 362020 687838 1375676 1719595 3439190 6878380 14570629 29141258 58282516 72853145 145706290 276841951 291412580 335124467 553683902 670248934 1107367804 1340497868 1384209755 1675622335 2768419510 3351244670 5536839020 6367364873 6702489340 11467085023 12734729746 22934170046 25469459492 31836824365 45868340092 57335425115 63673648730 114670850230 127347297460 217874615437 229341700460 263742955529 435749230874 527485911058 871498461748 1054971822116 1089373077185 1318714777645 2178746154370 2637429555290 4357492308740 5011116155051 5274859110580 10022232310102 20044464620204 25055580775255 50111161550510 100222323101020