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101023321113 = 321113292706731
BaseRepresentation
bin101111000010101110…
…1011000110000011001
3100122202111012102220200
41132011131120300121
53123343432233423
6114224240212413
710204311026661
oct1360535306031
9318674172820
10101023321113
1139931038430
12176b460a109
1396ac8238b0
144c64d1d1a1
152963ec5d43
hex1785758c19

101023321113 has 48 divisors (see below), whose sum is σ = 177345080640. Its totient is φ = 54567676800.

The previous prime is 101023321111. The next prime is 101023321127. The reversal of 101023321113 is 311123320101.

It is not a de Polignac number, because 101023321113 - 21 = 101023321111 is a prime.

It is a super-2 number, since 2×1010233211132 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101023321111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1316043 + ... + 1390688.

It is an arithmetic number, because the mean of its divisors is an integer number (3694689180).

Almost surely, 2101023321113 is an apocalyptic number.

101023321113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101023321113 is a deficient number, since it is larger than the sum of its proper divisors (76321759527).

101023321113 is a wasteful number, since it uses less digits than its factorization.

101023321113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2706790 (or 2706787 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 101023321113 its reverse (311123320101), we get a palindrome (412146641214).

The spelling of 101023321113 in words is "one hundred one billion, twenty-three million, three hundred twenty-one thousand, one hundred thirteen".

Divisors: 1 3 9 11 13 29 33 39 87 99 117 143 261 319 377 429 957 1131 1287 2871 3393 4147 12441 37323 2706731 8120193 24360579 29774041 35187503 78495199 89322123 105562509 235485597 267966369 316687527 387062533 706456791 863447189 1020437587 1161187599 2590341567 3061312761 3483562797 7771024701 9183938283 11224813457 33674440371 101023321113