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132120102030021 = 34711031443714633
BaseRepresentation
bin11110000010100110011011…
…101111111100101011000101
3122022210120002002000102010000
4132002212123233330223011
5114304123432104430041
61144555045330151513
736554235202500540
oct3602463357745305
9568716062012100
10132120102030021
1139108903260866
1212999916a22599
135894b451a83c1
14248a90b753857
151041b31482bb6
hex78299bbfcac5

132120102030021 has 80 divisors (see below), whose sum is σ = 225795103041024. Its totient is φ = 75418374986496.

The previous prime is 132120102030017. The next prime is 132120102030041. The reversal of 132120102030021 is 120030201021231.

132120102030021 is a `hidden beast` number, since 1 + 321 + 2 + 0 + 1 + 0 + 20 + 300 + 21 = 666.

It is not a de Polignac number, because 132120102030021 - 22 = 132120102030017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 132120102029976 and 132120102030003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132120102030041) 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, 9028906921 + ... + 9028921553.

Almost surely, 2132120102030021 is an apocalyptic number.

It is an amenable number.

132120102030021 is a deficient number, since it is larger than the sum of its proper divisors (93675001011003).

132120102030021 is a wasteful number, since it uses less digits than its factorization.

132120102030021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30192 (or 30183 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 132120102030021 its reverse (120030201021231), we get a palindrome (252150303051252).

The spelling of 132120102030021 in words is "one hundred thirty-two trillion, one hundred twenty billion, one hundred two million, thirty thousand, twenty-one".

Divisors: 1 3 7 9 21 27 63 81 189 567 1103 3309 7721 9927 14437 14633 23163 29781 43311 43899 69489 89343 101059 102431 129933 131697 208467 303177 307293 389799 395091 625401 909531 921879 1169397 1185273 2728593 2765637 8185779 8296911 15924011 16140199 47772033 48420597 111468077 112981393 143316099 145261791 211256621 334404231 338944179 429948297 435785373 633769863 1003212693 1016832537 1289844891 1307356119 1478796347 1901309589 3009638079 3050497611 4436389041 5703928767 9028914237 9151492833 13309167123 17111786301 39927501369 119782504107 233016052963 699048158889 1631112370741 2097144476667 4893337112223 6291433430001 14680011336669 18874300290003 44040034010007 132120102030021