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101291229 = 34132931107
BaseRepresentation
bin1100000100110…
…01010011011101
321001121010110000
412002121103131
5201412304404
614015004513
72336650464
oct602312335
9231533400
10101291229
11521a3666
1229b09739
1317ca6450
14d6499db
158d5c339
hex60994dd

101291229 has 80 divisors (see below), whose sum is σ = 175633920. Its totient is φ = 57697920.

The previous prime is 101291209. The next prime is 101291249. The reversal of 101291229 is 922192101.

It is an interprime number because it is at equal distance from previous prime (101291209) and next prime (101291249).

It is not a de Polignac number, because 101291229 - 224 = 84514013 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101291209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 946594 + ... + 946700.

It is an arithmetic number, because the mean of its divisors is an integer number (2195424).

Almost surely, 2101291229 is an apocalyptic number.

It is an amenable number.

101291229 is a deficient number, since it is larger than the sum of its proper divisors (74342691).

101291229 is a wasteful number, since it uses less digits than its factorization.

101291229 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 101291229 is about 10064.3543757163. The cubic root of 101291229 is about 466.1481305619.

The spelling of 101291229 in words is "one hundred one million, two hundred ninety-one thousand, two hundred twenty-nine".

Divisors: 1 3 9 13 27 29 31 39 81 87 93 107 117 261 279 321 351 377 403 783 837 899 963 1053 1131 1209 1391 2349 2511 2697 2889 3103 3317 3393 3627 4173 8091 8667 9309 9951 10179 10881 11687 12519 24273 27927 29853 30537 32643 35061 37557 40339 43121 72819 83781 89559 96193 105183 112671 121017 129363 251343 268677 288579 315549 363051 388089 865737 946647 1089153 1164267 1250509 2597211 3267459 3492801 3751527 7791633 11254581 33763743 101291229