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102323002100 = 225211436133529
BaseRepresentation
bin101111101001011101…
…1010001101011110100
3100210010001210002001112
41133102323101223310
53134024142031400
6115001225014152
710251442111244
oct1372273215364
9323101702045
10102323002100
113a438737a50
12179b7924358
139858b795b7
144d49799b24
1529dd151835
hex17d2ed1af4

102323002100 has 144 divisors (see below), whose sum is σ = 248334313920. Its totient is φ = 36273484800.

The previous prime is 102323002087. The next prime is 102323002169. The reversal of 102323002100 is 1200323201.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28993136 + ... + 28996664.

Almost surely, 2102323002100 is an apocalyptic number.

102323002100 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 102323002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124167156960).

102323002100 is an abundant number, since it is smaller than the sum of its proper divisors (146011311820).

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

102323002100 is a wasteful number, since it uses less digits than its factorization.

102323002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4210 (or 4203 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 102323002100 its reverse (1200323201), we get a palindrome (103523325301).

The spelling of 102323002100 in words is "one hundred two billion, three hundred twenty-three million, two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 43 44 50 55 86 100 110 172 215 220 275 430 473 550 613 860 946 1075 1100 1226 1892 2150 2365 2452 3065 3529 4300 4730 6130 6743 7058 9460 11825 12260 13486 14116 15325 17645 23650 26359 26972 30650 33715 35290 38819 47300 52718 61300 67430 70580 77638 88225 105436 131795 134860 151747 155276 168575 176450 194095 263590 289949 303494 337150 352900 388190 527180 579898 606988 658975 674300 758735 776380 970475 1159796 1317950 1449745 1517470 1669217 1940950 2163277 2635900 2899490 3034940 3338434 3793675 3881900 4326554 5798980 6676868 7248725 7587350 8346085 8653108 10816385 14497450 15174700 16692170 21632770 23796047 28994900 33384340 41730425 43265540 47592094 54081925 83460850 93020911 95184188 108163850 118980235 166921700 186041822 216327700 237960470 372083644 465104555 475920940 594901175 930209110 1023230021 1189802350 1860418220 2046460042 2325522775 2379604700 4092920084 4651045550 5116150105 9302091100 10232300210 20464600420 25580750525 51161501050 102323002100