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131970188454 = 231317163610583
BaseRepresentation
bin111101011101000001…
…0010100010010100110
3110121122020012012002120
41322322002110102212
54130233332012304
6140343135050410
712351226044006
oct1727202242246
9417566165076
10131970188454
1150a71804955
12216b0670a06
13c5a2111910
14655d004006
153675cd80d9
hex1eba0944a6

131970188454 has 64 divisors (see below), whose sum is σ = 302810586624. Its totient is φ = 37983085056.

The previous prime is 131970188453. The next prime is 131970188461. The reversal of 131970188454 is 454881079131.

131970188454 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1319701884542 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 131970188397 and 131970188406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131970188453) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89154 + ... + 521429.

It is an arithmetic number, because the mean of its divisors is an integer number (4731415416).

Almost surely, 2131970188454 is an apocalyptic number.

131970188454 is an abundant number, since it is smaller than the sum of its proper divisors (170840398170).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131970188454 is a wasteful number, since it uses less digits than its factorization.

131970188454 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610781.

The product of its (nonzero) digits is 967680, while the sum is 51.

The spelling of 131970188454 in words is "one hundred thirty-one billion, nine hundred seventy million, one hundred eighty-eight thousand, four hundred fifty-four".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 102 163 221 326 442 489 663 978 1326 2119 2771 4238 5542 6357 8313 12714 16626 36023 72046 108069 216138 610583 1221166 1831749 3663498 7937579 10379911 15875158 20759822 23812737 31139733 47625474 62279466 99525029 134938843 199050058 269877686 298575087 404816529 597150174 809633058 1293825377 1691925493 2587650754 3383850986 3881476131 5075776479 7762952262 10151552958 21995031409 43990062818 65985094227 131970188454