Search a number
-
+
120613130135355 = 351113206327256373
BaseRepresentation
bin11011011011001001101110…
…110001101110011100111011
3120211001111120102022002001010
4123123021232301232130323
5111302111142303312410
61104304523531325003
734256003542303164
oct3333115661563473
9524044512262033
10120613130135355
1135481817646840
121163b7712b0763
13523ba003c1130
1421ad9c707676b
15de265707dc20
hex6db26ec6e73b

120613130135355 has 64 divisors (see below), whose sum is σ = 226828852733952. Its totient is φ = 53954533501440.

The previous prime is 120613130135293. The next prime is 120613130135357. The reversal of 120613130135355 is 553531031316021.

It is not a de Polignac number, because 120613130135355 - 221 = 120613128038203 is a prime.

It is a super-2 number, since 2×1206131301353552 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (120613130135357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9203052 + ... + 18053321.

It is an arithmetic number, because the mean of its divisors is an integer number (3544200823968).

Almost surely, 2120613130135355 is an apocalyptic number.

120613130135355 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

120613130135355 is a deficient number, since it is larger than the sum of its proper divisors (106215722598597).

120613130135355 is a wasteful number, since it uses less digits than its factorization.

120613130135355 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27258468.

The product of its (nonzero) digits is 121500, while the sum is 39.

The spelling of 120613130135355 in words is "one hundred twenty trillion, six hundred thirteen billion, one hundred thirty million, one hundred thirty-five thousand, three hundred fifty-five".

Divisors: 1 3 5 11 13 15 33 39 55 65 143 165 195 429 715 2063 2145 6189 10315 22693 26819 30945 68079 80457 113465 134095 295009 340395 402285 885027 1475045 4425135 27256373 81769119 136281865 299820103 354332849 408845595 899460309 1062998547 1499100515 1771664245 3897661339 4497301545 5314992735 11692984017 19488306695 56229897499 58464920085 168689692497 281149487495 618528872489 730988667487 843448462485 1855586617467 2192966002461 3092644362445 3654943337435 8040875342357 9277933087335 10964830012305 24122626027071 40204376711785 120613130135355