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102233133222231 = 311296471219713537
BaseRepresentation
bin10111001111101100000001…
…100101110000100101010111
3111101222101120211110011000010
4113033230001211300211113
5101344441424101102411
61001233130353451303
730351046226300004
oct2717540145604527
9441871524404003
10102233133222231
112a635912545450
12b571571570b33
13450770a24c10b
141b36177d928ab
15bc44b99577a6
hex5cfb01970957

102233133222231 has 64 divisors (see below), whose sum is σ = 154092193274880. Its totient is φ = 59721169858560.

The previous prime is 102233133222229. The next prime is 102233133222299. The reversal of 102233133222231 is 132222331332201.

It is not a de Polignac number, because 102233133222231 - 21 = 102233133222229 is a prime.

It is a super-2 number, since 2×1022331332222312 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102233133222331) 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, 7552119495 + ... + 7552133031.

It is an arithmetic number, because the mean of its divisors is an integer number (2407690519920).

Almost surely, 2102233133222231 is an apocalyptic number.

102233133222231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102233133222231 is a deficient number, since it is larger than the sum of its proper divisors (51859060052649).

102233133222231 is a wasteful number, since it uses less digits than its factorization.

102233133222231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26424.

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 102233133222231 its reverse (132222331332201), we get a palindrome (234455464554432).

The spelling of 102233133222231 in words is "one hundred two trillion, two hundred thirty-three billion, one hundred thirty-three million, two hundred twenty-two thousand, two hundred thirty-one".

Divisors: 1 3 11 29 33 87 319 647 957 1941 7117 12197 13537 18763 21351 36591 40611 56289 134167 148907 206393 353713 392573 402501 446721 619179 1061139 1177719 3890843 4318303 7891459 8758439 11672529 12954909 23674377 26275317 86806049 96342829 165110789 228852311 253994731 260418147 289028487 495332367 686556933 761984193 1816218679 2517375421 2793942041 4788212881 5448656037 7552126263 8381826123 14364638643 52670341691 106826680483 158011025073 320480041449 1175093485313 3097973734007 3525280455939 9293921202021 34077711074077 102233133222231