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1011020136 = 23372978863
BaseRepresentation
bin111100010000101…
…111000101101000
32121110102010220020
4330100233011220
54032310121021
6244153400440
734024346400
oct7420570550
92543363806
101011020136
11479770435
12242709120
131315c8189
14983b9800
155db5b7c6
hex3c42f168

1011020136 has 96 divisors (see below), whose sum is σ = 2970858240. Its totient is φ = 285852672.

The previous prime is 1011020123. The next prime is 1011020137. The reversal of 1011020136 is 6310201101.

It is not an unprimeable number, because it can be changed into a prime (1011020137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109641 + ... + 118503.

It is an arithmetic number, because the mean of its divisors is an integer number (30946440).

Almost surely, 21011020136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1011020136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1485429120).

1011020136 is an abundant number, since it is smaller than the sum of its proper divisors (1959838104).

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

1011020136 is a wasteful number, since it uses less digits than its factorization.

1011020136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8983 (or 8972 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 1011020136 is about 31796.5428309431. The cubic root of 1011020136 is about 1003.6599669663.

Adding to 1011020136 its reverse (6310201101), we get a palindrome (7321221237).

The spelling of 1011020136 in words is "one billion, eleven million, twenty thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 97 98 147 168 194 196 291 294 388 392 582 588 679 776 1164 1176 1358 2037 2328 2716 4074 4753 5432 8148 8863 9506 14259 16296 17726 19012 26589 28518 35452 38024 53178 57036 62041 70904 106356 114072 124082 186123 212712 248164 372246 434287 496328 744492 859711 868574 1302861 1488984 1719422 1737148 2579133 2605722 3438844 3474296 5158266 5211444 6017977 6877688 10316532 10422888 12035954 18053931 20633064 24071908 36107862 42125839 48143816 72215724 84251678 126377517 144431448 168503356 252755034 337006712 505510068 1011020136