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1024212320131 = 711133135991939
BaseRepresentation
bin11101110011101111100…
…11111011111110000011
310121220200010011201122111
432321313303323332003
5113240041323221011
62102303332320151
7133665636035440
oct16716763737603
93556603151574
101024212320131
11365403176420
121465ba773057
1375776573aa0
1437801d509c7
151b9971e7121
hexee77cfbf83

1024212320131 has 64 divisors (see below), whose sum is σ = 1423495987200. Its totient is φ = 710938166400.

The previous prime is 1024212320081. The next prime is 1024212320137. The reversal of 1024212320131 is 1310232124201.

It is not a de Polignac number, because 1024212320131 - 223 = 1024203931523 is a prime.

It is a super-2 number, since 2×10242123201312 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1024212320137) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11094160 + ... + 11186098.

It is an arithmetic number, because the mean of its divisors is an integer number (22242124800).

Almost surely, 21024212320131 is an apocalyptic number.

1024212320131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1024212320131 is a deficient number, since it is larger than the sum of its proper divisors (399283667069).

1024212320131 is a wasteful number, since it uses less digits than its factorization.

1024212320131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92360.

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 1024212320131 its reverse (1310232124201), we get a palindrome (2334444444332).

The spelling of 1024212320131 in words is "one trillion, twenty-four billion, two hundred twelve million, three hundred twenty thousand, one hundred thirty-one".

Divisors: 1 7 11 13 31 77 91 143 217 341 359 403 1001 2387 2513 2821 3949 4433 4667 11129 27643 31031 32669 51337 77903 91939 122419 144677 359359 643573 856933 1011329 1012739 1195207 1591447 2850109 7079303 8366449 11140129 13147277 19950763 31351199 33006101 37051417 92030939 219458393 231042707 259359919 363067111 407565587 429079313 1023189131 2541469777 2852959109 3003555191 4719872443 7162323917 11255080441 13301458703 33039107101 78785563087 93110210921 146316045733 1024212320131