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136132343631011 = 71323141471926341
BaseRepresentation
bin11110111100111111000111…
…111111000000110010100011
3122212000010101002102212122102
4132330333013333000302203
5120320343014432143021
61201310200232201015
740450144244421530
oct3674770777006243
9585003332385572
10136132343631011
113a415448020442
121332743a53916b
135ac62c01ca100
142588baa801d87
1510b11abed400b
hex7bcfc7fc0ca3

136132343631011 has 96 divisors (see below), whose sum is σ = 181934464352256. Its totient is φ = 99528594048000.

The previous prime is 136132343630999. The next prime is 136132343631029. The reversal of 136132343631011 is 110136343231631.

It is not a de Polignac number, because 136132343631011 - 26 = 136132343630947 is a prime.

It is a super-2 number, since 2×1361323436310112 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (136132343631061) 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 95 ways as a sum of consecutive naturals, for example, 69705701 + ... + 71632041.

It is an arithmetic number, because the mean of its divisors is an integer number (1895150670336).

Almost surely, 2136132343631011 is an apocalyptic number.

136132343631011 is a deficient number, since it is larger than the sum of its proper divisors (45802120721245).

136132343631011 is a wasteful number, since it uses less digits than its factorization.

136132343631011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1926493 (or 1926480 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 38.

Adding to 136132343631011 its reverse (110136343231631), we get a palindrome (246268686862642).

The spelling of 136132343631011 in words is "one hundred thirty-six trillion, one hundred thirty-two billion, three hundred forty-three million, six hundred thirty-one thousand, eleven".

Divisors: 1 7 13 31 41 47 91 169 217 287 329 403 533 611 1183 1271 1457 1927 2821 3731 4277 5239 6929 7943 8897 10199 13489 16523 18941 25051 36673 48503 55601 59737 115661 132587 175357 214799 246233 325663 418159 776581 1503593 1723631 1926341 2279641 5436067 10095553 13484387 25042433 59716571 70668871 78979981 90538027 175297031 325551629 418015997 552859867 633766189 776315423 1026739753 1176994351 2278861403 2448379411 2806678837 3712059107 5434207961 7187178271 8238960457 10092100499 13347616789 15300926563 17138655877 19646751859 25984413749 31828932343 36486824881 48256768391 70644703493 93433317523 107106485941 115073832317 222802526401 255407774167 337797378737 413776120459 474328723453 627337989083 805516826219 1495959820121 2896432843213 3320301064171 4391365923581 10471718740847 19447477661573 136132343631011