Search a number
-
+
102121443040 = 2554353280061
BaseRepresentation
bin101111100011011101…
…0011000111011100000
3100202121000111211000011
41133012322120323200
53133121042134130
6114525224534304
710243443641431
oct1370672307340
9322530454004
10102121443040
113a34498a711
1217960321394
139826197796
144d2aacd488
1529ca5da52a
hex17c6e98ee0

102121443040 has 96 divisors (see below), whose sum is σ = 251531523936. Its totient is φ = 39145666560.

The previous prime is 102121442999. The next prime is 102121443071. The reversal of 102121443040 is 40344121201.

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 15 ways as a sum of consecutive naturals, for example, 224610 + ... + 504670.

It is an arithmetic number, because the mean of its divisors is an integer number (2620120041).

Almost surely, 2102121443040 is an apocalyptic number.

102121443040 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 102121443040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125765761968).

102121443040 is an abundant number, since it is smaller than the sum of its proper divisors (149410080896).

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

102121443040 is a wasteful number, since it uses less digits than its factorization.

102121443040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280172 (or 280164 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 102121443040 its reverse (40344121201), we get a palindrome (142465564241).

The spelling of 102121443040 in words is "one hundred two billion, one hundred twenty-one million, four hundred forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 53 80 86 106 160 172 212 215 265 344 424 430 530 688 848 860 1060 1376 1696 1720 2120 2279 3440 4240 4558 6880 8480 9116 11395 18232 22790 36464 45580 72928 91160 182320 280061 364640 560122 1120244 1400305 2240488 2800610 4480976 5601220 8961952 11202440 12042623 14843233 22404880 24085246 29686466 44809760 48170492 59372932 60213115 74216165 96340984 118745864 120426230 148432330 192681968 237491728 240852460 296864660 385363936 474983456 481704920 593729320 638259019 963409840 1187458640 1276518038 1926819680 2374917280 2553036076 3191295095 5106072152 6382590190 10212144304 12765180380 20424288608 25530360760 51060721520 102121443040