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120100201011 = 3477913719571
BaseRepresentation
bin110111111011010000…
…1111010001000110011
3102110222222201100110000
41233312201322020303
53431431122413021
6131101232041043
711451123602430
oct1576641721063
9373888640400
10120100201011
1146a3048367a
121b339393183
13b42cb9b4cb
145b5478ab87
1531cdb99b26
hex1bf687a233

120100201011 has 80 divisors (see below), whose sum is σ = 209160483840. Its totient is φ = 67261933440.

The previous prime is 120100200977. The next prime is 120100201043. The reversal of 120100201011 is 110102001021.

It is a happy number.

It is not a de Polignac number, because 120100201011 - 213 = 120100192819 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 120100200984 and 120100201002.

It is not an unprimeable number, because it can be changed into a prime (120100201411) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6126856 + ... + 6146426.

It is an arithmetic number, because the mean of its divisors is an integer number (2614506048).

Almost surely, 2120100201011 is an apocalyptic number.

120100201011 is a deficient number, since it is larger than the sum of its proper divisors (89060282829).

120100201011 is a wasteful number, since it uses less digits than its factorization.

120100201011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19806 (or 19797 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 120100201011 its reverse (110102001021), we get a palindrome (230202202032).

The spelling of 120100201011 in words is "one hundred twenty billion, one hundred million, two hundred one thousand, eleven".

Divisors: 1 3 7 9 21 27 63 79 81 137 189 237 411 553 567 711 959 1233 1659 2133 2877 3699 4977 6399 8631 10823 11097 14931 19571 25893 32469 44793 58713 75761 77679 97407 136997 176139 227283 292221 410991 528417 681849 876663 1232973 1546109 1585251 2045547 2681227 3698919 4638327 6136641 8043681 10822763 11096757 13914981 18768589 24131043 32468289 41744943 56305767 72393129 97404867 125234829 168917301 211816933 217179387 292214601 506751903 635450799 876643803 1482718531 1520255709 1906352397 4448155593 5719057191 13344466779 17157171573 40033400337 120100201011