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101103433029 = 3237303613913
BaseRepresentation
bin101111000101000111…
…0111111010101000101
3100122222001221112210200
41132022032333111011
53124024434324104
6114240221241113
710206303000264
oct1361216772505
9318861845720
10101103433029
1139972285725
1217717403199
1396c32c2bb1
144c718145db
15296b04cb39
hex178a3bf545

101103433029 has 12 divisors (see below), whose sum is σ = 149985273516. Its totient is φ = 65580604992.

The previous prime is 101103433003. The next prime is 101103433037. The reversal of 101103433029 is 920334301101.

101103433029 is a `hidden beast` number, since 1 + 0 + 1 + 10 + 343 + 302 + 9 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 39908052900 + 61195380129 = 199770^2 + 247377^2 .

It is not a de Polignac number, because 101103433029 - 29 = 101103432517 is a prime.

It is a super-2 number, since 2×1011034330292 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101103432993 and 101103433011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101101433029) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 151806624 + ... + 151807289.

It is an arithmetic number, because the mean of its divisors is an integer number (12498772793).

Almost surely, 2101103433029 is an apocalyptic number.

It is an amenable number.

101103433029 is a deficient number, since it is larger than the sum of its proper divisors (48881840487).

101103433029 is a wasteful number, since it uses less digits than its factorization.

101103433029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303613956 (or 303613953 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The spelling of 101103433029 in words is "one hundred one billion, one hundred three million, four hundred thirty-three thousand, twenty-nine".

Divisors: 1 3 9 37 111 333 303613913 910841739 2732525217 11233714781 33701144343 101103433029