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102101454120 = 23353737361651
BaseRepresentation
bin101111100010110111…
…0001000110100101000
3100202112121220021100210
41133011232020310220
53133100433012440
6114523232301120
710243112016621
oct1370556106450
9322477807323
10102101454120
113a334677746
12179556a17a0
139821cb9413
144d281a8a48
1529c898ca80
hex17c5b88d28

102101454120 has 128 divisors (see below), whose sum is σ = 315431360640. Its totient is φ = 26419737600.

The previous prime is 102101454097. The next prime is 102101454127. The reversal of 102101454120 is 21454101201.

102101454120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (102101454127) 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, 1625295 + ... + 1686945.

It is an arithmetic number, because the mean of its divisors is an integer number (2464307505).

Almost surely, 2102101454120 is an apocalyptic number.

102101454120 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 102101454120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157715680320).

102101454120 is an abundant number, since it is smaller than the sum of its proper divisors (213329906520).

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

102101454120 is a wasteful number, since it uses less digits than its factorization.

102101454120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62075 (or 62071 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

Adding to 102101454120 its reverse (21454101201), we get a palindrome (123555555321).

The spelling of 102101454120 in words is "one hundred two billion, one hundred one million, four hundred fifty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 296 370 373 444 555 740 746 888 1110 1119 1480 1492 1865 2220 2238 2984 3730 4440 4476 5595 7460 8952 11190 13801 14920 22380 27602 41403 44760 55204 61651 69005 82806 110408 123302 138010 165612 184953 207015 246604 276020 308255 331224 369906 414030 493208 552040 616510 739812 828060 924765 1233020 1479624 1656120 1849530 2281087 2466040 3699060 4562174 6843261 7398120 9124348 11405435 13686522 18248696 22810870 22995823 27373044 34216305 45621740 45991646 54746088 68432610 68987469 91243480 91983292 114979115 136865220 137974938 183966584 229958230 273730440 275949876 344937345 459916460 551899752 689874690 850845451 919832920 1379749380 1701690902 2552536353 2759498760 3403381804 4254227255 5105072706 6806763608 8508454510 10210145412 12762681765 17016909020 20420290824 25525363530 34033818040 51050727060 102101454120