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100886906029 = 7132233571641
BaseRepresentation
bin101110111110101010…
…1000000010010101101
3100122101222111211121011
41131331111000102231
53123104021443104
6114202524305221
710201033360240
oct1357525002255
9318358454534
10100886906029
1139871034798
12176769a2211
13968a4a0200
144c50b6d257
15295702b904
hex177d5404ad

100886906029 has 48 divisors (see below), whose sum is σ = 125802129024. Its totient is φ = 79217049600.

The previous prime is 100886906017. The next prime is 100886906047. The reversal of 100886906029 is 920609688001.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-100886906029 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100886906089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 157389549 + ... + 157390189.

It is an arithmetic number, because the mean of its divisors is an integer number (2620877688).

Almost surely, 2100886906029 is an apocalyptic number.

It is an amenable number.

100886906029 is a deficient number, since it is larger than the sum of its proper divisors (24915222995).

100886906029 is a wasteful number, since it uses less digits than its factorization.

100886906029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1478 (or 1465 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 49.

The spelling of 100886906029 in words is "one hundred billion, eight hundred eighty-six million, nine hundred six thousand, twenty-nine".

Divisors: 1 7 13 91 169 233 571 641 1183 1631 3029 3997 4487 7423 8333 21203 39377 51961 58331 96499 108329 133043 149353 275639 366011 675493 758303 931301 1045471 1729559 1941589 2562077 4758143 12106913 13591123 22484267 25240657 33307001 61855859 85280563 157389869 176684599 432991013 596963941 1108647319 7760531233 14412415147 100886906029