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102141032334144 = 2631559687149663
BaseRepresentation
bin10111001110010110001111…
…111100110000001101000000
3111101122120212011101021012220
4113032112033330300031000
5101341434313234143034
61001122535324051040
730341305666540206
oct2716261774601500
9441576764337186
10102141032334144
112a5aa84aa3a011
12b557749093a80
1344cbb200ba9bb
141b3191c057076
15bc1dc8e3a749
hex5ce58ff30340

102141032334144 has 112 divisors (see below), whose sum is σ = 270466298019840. Its totient is φ = 34019534753280.

The previous prime is 102141032334127. The next prime is 102141032334161. The reversal of 102141032334144 is 441433230141201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (102141032334127) and next prime (102141032334161).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2056657857 + ... + 2056707519.

Almost surely, 2102141032334144 is an apocalyptic number.

It is an amenable number.

102141032334144 is an abundant number, since it is smaller than the sum of its proper divisors (168325265685696).

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

102141032334144 is a wasteful number, since it uses less digits than its factorization.

102141032334144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58108 (or 58098 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 102141032334144 its reverse (441433230141201), we get a palindrome (543574262475345).

The spelling of 102141032334144 in words is "one hundred two trillion, one hundred forty-one billion, thirty-two million, three hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 1559 3118 4677 6236 6871 9354 12472 13742 18708 20613 24944 27484 37416 41226 49663 49888 54968 74832 82452 99326 99776 109936 148989 149664 164904 198652 219872 297978 299328 329808 397304 439744 595956 659616 794608 1191912 1319232 1589216 2383824 3178432 4767648 9535296 10711889 21423778 32135667 42847556 64271334 77424617 85695112 128542668 154849234 171390224 232273851 257085336 309698468 341234473 342780448 464547702 514170672 619396936 682468946 685560896 929095404 1023703419 1028341344 1238793872 1364937892 1858190808 2047406838 2056682688 2477587744 2729875784 3716381616 4094813676 4955175488 5459751568 7432763232 8189627352 10919503136 14865526464 16379254704 21839006272 32758509408 65517018816 531984543407 1063969086814 1595953630221 2127938173628 3191907260442 4255876347256 6383814520884 8511752694512 12767629041768 17023505389024 25535258083536 34047010778048 51070516167072 102141032334144