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101302302130100 = 225223791279435907
BaseRepresentation
bin10111000010001001000111…
…101110111011111110110100
3111021200101221121112022022122
4113002021013232323332310
5101234214103321130400
6555241345105015112
730223564324456331
oct2702110756737664
9437611847468278
10101302302130100
112a307079674825
12b441094024498
13446a9c617cc36
141b030b4021988
15baa18a887685
hex5c2247bbbfb4

101302302130100 has 144 divisors (see below), whose sum is σ = 232469387673600. Its totient is φ = 38238511259520.

The previous prime is 101302302130091. The next prime is 101302302130103. The reversal of 101302302130100 is 1031203203101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101302302130103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 232176347 + ... + 232612253.

Almost surely, 2101302302130100 is an apocalyptic number.

101302302130100 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 101302302130100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116234693836800).

101302302130100 is an abundant number, since it is smaller than the sum of its proper divisors (131167085543500).

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

101302302130100 is a wasteful number, since it uses less digits than its factorization.

101302302130100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437302 (or 437295 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 101302302130100 its reverse (1031203203101), we get a palindrome (102333505333201).

The spelling of 101302302130100 in words is "one hundred one trillion, three hundred two billion, three hundred two million, one hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 79 92 100 115 158 230 316 395 460 575 790 1150 1279 1580 1817 1975 2300 2558 3634 3950 5116 6395 7268 7900 9085 12790 18170 25580 29417 31975 36340 45425 58834 63950 90850 101041 117668 127900 147085 181700 202082 294170 404164 435907 505205 588340 735425 871814 1010410 1470850 1743628 2020820 2179535 2323943 2526025 2941700 4359070 4647886 5052050 8718140 9295772 10025861 10104100 10897675 11619715 20051722 21795350 23239430 34436653 40103444 43590700 46478860 50129305 58098575 68873306 100258610 116197150 137746612 172183265 200517220 232394300 250646525 344366530 501293050 557525053 688733060 792043019 860916325 1002586100 1115050106 1584086038 1721832650 2230100212 2787625265 3168172076 3443665300 3960215095 5575250530 7920430190 11150501060 12823076219 13938126325 15840860380 19801075475 25646152438 27876252650 39602150950 44044479187 51292304876 55752505300 64115381095 79204301900 88088958374 128230762190 176177916748 220222395935 256461524380 320576905475 440444791870 641153810950 880889583740 1013023021301 1101111979675 1282307621900 2026046042602 2202223959350 4052092085204 4404447918700 5065115106505 10130230213010 20260460426020 25325575532525 50651151065050 101302302130100