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102133012123023 = 37671933631103583
BaseRepresentation
bin10111001110001110110001…
…111010000100110110001111
3111101121211011012221022212120
4113032032301322010312033
5101341321402100414043
61001115131423104023
730340603152061410
oct2716166172046617
9441554135838776
10102133012123023
112a5a7404817762
12b55608b142013
1344cb14261c34b
141b3139ac0b807
15bc1aa9c9b983
hex5ce3b1e84d8f

102133012123023 has 64 divisors (see below), whose sum is σ = 158817786396672. Its totient is φ = 57176468490240.

The previous prime is 102133012123007. The next prime is 102133012123033. The reversal of 102133012123023 is 320321210331201.

It is not a de Polignac number, because 102133012123023 - 24 = 102133012123007 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102133012122984 and 102133012123002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102133012123033) 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, 985949890 + ... + 986053472.

It is an arithmetic number, because the mean of its divisors is an integer number (2481527912448).

Almost surely, 2102133012123023 is an apocalyptic number.

102133012123023 is a deficient number, since it is larger than the sum of its proper divisors (56684774273649).

102133012123023 is a wasteful number, since it uses less digits than its factorization.

102133012123023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107484.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 102133012123023 its reverse (320321210331201), we get a palindrome (422454222454224).

The spelling of 102133012123023 in words is "one hundred two trillion, one hundred thirty-three billion, twelve million, one hundred twenty-three thousand, twenty-three".

Divisors: 1 3 7 21 67 193 201 469 579 1351 1407 3631 4053 10893 12931 25417 38793 76251 90517 103583 243277 271551 310749 700783 725081 729831 1702939 2102349 2175243 4905481 5108817 6940061 14716443 19991519 20820183 46952461 48580427 59974557 139940633 140857383 145741281 328667227 376109873 419821899 986001681 1128329619 1339431773 2632769111 4018295319 7898307333 9376022411 25199361491 28128067233 72589205489 75598084473 176395530437 217767616467 508124438423 529186591311 1524373315269 4863476767763 14590430303289 34044337374341 102133012123023