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2011022104 = 237137379479
BaseRepresentation
bin111011111011101…
…1100001100011000
312012011002111201011
41313313130030120
513104310201404
6531315103304
7100556256130
oct16767341430
95164074634
102011022104
11942195743
124815a1b34
13260836210
14151127ac0
15bb83d604
hex77ddc318

2011022104 has 128 divisors (see below), whose sum is σ = 4773888000. Its totient is φ = 773121024.

The previous prime is 2011022087. The next prime is 2011022107. The reversal of 2011022104 is 4012201102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011022107) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4198137 + ... + 4198615.

It is an arithmetic number, because the mean of its divisors is an integer number (37296000).

Almost surely, 22011022104 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 2011022104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2386944000).

2011022104 is an abundant number, since it is smaller than the sum of its proper divisors (2762865896).

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

2011022104 is a wasteful number, since it uses less digits than its factorization.

2011022104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 2011022104 is about 44844.4211022954. The cubic root of 2011022104 is about 1262.2313079014.

Adding to 2011022104 its reverse (4012201102), we get a palindrome (6023223206).

The spelling of 2011022104 in words is "two billion, eleven million, twenty-two thousand, one hundred four".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 73 79 91 104 146 158 182 292 316 364 479 511 553 584 632 728 949 958 1022 1027 1106 1898 1916 2044 2054 2212 3353 3796 3832 4088 4108 4424 5767 6227 6643 6706 7189 7592 8216 11534 12454 13286 13412 14378 23068 24908 26572 26824 28756 34967 37841 40369 43589 46136 49816 53144 57512 69934 74971 75682 80738 87178 139868 149942 151364 161476 174356 244769 264887 279736 299884 302728 322952 348712 454571 489538 491933 524797 529774 599768 909142 979076 983866 1049594 1059548 1818284 1958152 1967732 2099188 2119096 2762393 3181997 3443531 3636568 3935464 4198376 5524786 6363994 6887062 11049572 12727988 13774124 19336751 22099144 25455976 27548248 35911109 38673502 71822218 77347004 143644436 154694008 251377763 287288872 502755526 1005511052 2011022104