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102141030423150 = 232522932983237301
BaseRepresentation
bin10111001110010110001111…
…110101011101101001101110
3111101122120212000210011211100
4113032112033311131221232
5101341434312242020100
61001122535215103530
730341305644360615
oct2716261765355156
9441576760704740
10102141030423150
112a5aa849954284
12b557748511ba6
1344cbb1c89bc34
141b3191baba87c
15bc1dc8bae400
hex5ce58fd5da6e

102141030423150 has 144 divisors (see below), whose sum is σ = 283891425723360. Its totient is φ = 26297472096000.

The previous prime is 102141030423149. The next prime is 102141030423161. The reversal of 102141030423150 is 51324030141201.

102141030423150 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 41 + 0 + 304 + 2 + 315 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 430309500 + ... + 430546800.

It is an arithmetic number, because the mean of its divisors is an integer number (1971468234190).

Almost surely, 2102141030423150 is an apocalyptic number.

102141030423150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102141030423150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141945712861680).

102141030423150 is an abundant number, since it is smaller than the sum of its proper divisors (181750395300210).

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

102141030423150 is a wasteful number, since it uses less digits than its factorization.

102141030423150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270331 (or 270323 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 102141030423150 its reverse (51324030141201), we get a palindrome (153465060564351).

The spelling of 102141030423150 in words is "one hundred two trillion, one hundred forty-one billion, thirty million, four hundred twenty-three thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 29 30 45 50 58 75 87 90 145 150 174 225 261 290 435 450 522 725 870 1305 1450 2175 2610 4350 6525 13050 32983 65966 98949 164915 197898 237301 296847 329830 474602 494745 593694 711903 824575 956507 989490 1186505 1423806 1484235 1649150 1913014 2135709 2373010 2473725 2869521 2968470 3559515 4271418 4782535 4947450 5739042 5932525 6881729 7119030 7421175 8608563 9565070 10678545 11865050 13763458 14347605 14842350 17217126 17797575 20645187 21357090 23912675 28695210 34408645 35595150 41290374 43042815 47825350 53392725 61935561 68817290 71738025 86085630 103225935 106785450 123871122 143476050 172043225 206451870 215214075 309677805 344086450 430428150 516129675 619355610 1032259350 1548389025 3096778050 7826898883 15653797766 23480696649 39134494415 46961393298 70442089947 78268988830 117403483245 140884179894 195672472075 226980067607 234806966490 352210449735 391344944150 453960135214 587017416225 680940202821 704420899470 1134900338035 1174034832450 1361880405642 1761052248675 2042820608463 2269800676070 3404701014105 3522104497350 4085641216926 5674501690175 6809402028210 10214103042315 11349003380350 17023505070525 20428206084630 34047010141050 51070515211575 102141030423150