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106731583203 = 3747331383853
BaseRepresentation
bin110001101100110110…
…0101011011011100011
3101012111022022012102010
41203121230223123203
53222041241130303
6121010512124003
710465623326340
oct1433154533343
9335438265363
10106731583203
11412a0218203
1218828236603
13a0ac32537b
1452470a97c7
152b9a1d2c03
hex18d9b2b6e3

106731583203 has 64 divisors (see below), whose sum is σ = 167231619072. Its totient is φ = 59286522240.

The previous prime is 106731583201. The next prime is 106731583219. The reversal of 106731583203 is 302385137601.

It is a Cunningham number, because it is equal to 3266982-1.

It is not a de Polignac number, because 106731583203 - 21 = 106731583201 is a prime.

It is a super-2 number, since 2×1067315832032 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106731583201) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 125124525 + ... + 125125377.

It is an arithmetic number, because the mean of its divisors is an integer number (2612994048).

Almost surely, 2106731583203 is an apocalyptic number.

106731583203 is a deficient number, since it is larger than the sum of its proper divisors (60500035869).

106731583203 is a wasteful number, since it uses less digits than its factorization.

With its successor (106731583204) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (1624).

106731583203 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1624.

The product of its (nonzero) digits is 90720, while the sum is 39.

The spelling of 106731583203 in words is "one hundred six billion, seven hundred thirty-one million, five hundred eighty-three thousand, two hundred three".

Divisors: 1 3 7 21 47 141 329 331 383 853 987 993 1149 2317 2559 2681 5971 6951 8043 15557 17913 18001 40091 46671 54003 108899 120273 126007 126773 280637 282343 326697 326699 378021 380319 841911 847029 887411 980097 1976401 2286893 2662233 5929203 5958331 6860679 13270121 15354853 17874993 39810363 41708317 46064559 92890847 107483971 108137369 125124951 278672541 322451913 324412107 756961583 2270884749 5082456343 15247369029 35577194401 106731583203