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20121090136 = 2371941461239
BaseRepresentation
bin10010101111010011…
…110111100001011000
31220221021101021200121
4102233103313201120
5312201444341021
613124332443024
71311422305240
oct225723674130
956837337617
1020121090136
118595915914
123a96619474
131b887c3ac4
14d8c406b20
157cb6d9741
hex4af4f7858

20121090136 has 64 divisors (see below), whose sum is σ = 46492992000. Its totient is φ = 7970192640.

The previous prime is 20121090091. The next prime is 20121090137. The reversal of 20121090136 is 63109012102.

It is a super-3 number, since 3×201210901363 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 20121090136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20121090137) 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 15 ways as a sum of consecutive naturals, for example, 186996 + ... + 274243.

It is an arithmetic number, because the mean of its divisors is an integer number (726453000).

Almost surely, 220121090136 is an apocalyptic number.

It is an amenable number.

20121090136 is an abundant number, since it is smaller than the sum of its proper divisors (26371901864).

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

20121090136 is a wasteful number, since it uses less digits than its factorization.

20121090136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461312 (or 461308 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 25.

The spelling of 20121090136 in words is "twenty billion, one hundred twenty-one million, ninety thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 19 28 38 41 56 76 82 133 152 164 266 287 328 532 574 779 1064 1148 1558 2296 3116 5453 6232 10906 21812 43624 461239 922478 1844956 3228673 3689912 6457346 8763541 12914692 17527082 18910799 25829384 35054164 37821598 61344787 70108328 75643196 122689574 132375593 151286392 245379148 264751186 359305181 490758296 529502372 718610362 1059004744 1437220724 2515136267 2874441448 5030272534 10060545068 20121090136