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101121332229 = 3431473072791
BaseRepresentation
bin101111000101101001…
…1010001010000000101
3100200000022121220220000
41132023103101100011
53124044030112404
6114242101031513
710206611066451
oct1361323212005
9320008556800
10101121332229
11399813a0655
12177213b5599
1396c6c1c038
144c73d53661
15296c8d6339
hex178b4d1405

101121332229 has 80 divisors (see below), whose sum is σ = 159824265216. Its totient is φ = 63620704800.

The previous prime is 101121332171. The next prime is 101121332233. The reversal of 101121332229 is 922233121101.

101121332229 is a `hidden beast` number, since 101 + 1 + 2 + 1 + 332 + 229 = 666.

It is not a de Polignac number, because 101121332229 - 216 = 101121266693 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 (101121332029) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 36229824 + ... + 36232614.

Almost surely, 2101121332229 is an apocalyptic number.

It is an amenable number.

101121332229 is a deficient number, since it is larger than the sum of its proper divisors (58702932987).

101121332229 is a wasteful number, since it uses less digits than its factorization.

101121332229 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3188 (or 3179 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

It can be divided in two parts, 10112 and 1332229, that added together give a triangular number (1342341 = T1638).

The spelling of 101121332229 in words is "one hundred one billion, one hundred twenty-one million, three hundred thirty-two thousand, two hundred twenty-nine".

Divisors: 1 3 9 27 31 47 81 93 141 279 307 423 837 921 1269 1457 2511 2763 2791 3807 4371 8289 8373 9517 13113 14429 24867 25119 28551 39339 43287 75357 85653 86521 118017 129861 131177 226071 256959 259563 389583 393531 447299 770877 778689 856837 1168749 1180593 1341897 2336067 2570511 3541779 4025691 4066487 7008201 7711533 10625337 12077073 12199461 23134599 26561947 36231219 36598383 40271339 69403797 79685841 109795149 120814017 239057523 329385447 362442051 717172569 1087326153 1248411509 2151517707 3261978459 3745234527 11235703581 33707110743 101121332229