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1010002111112 = 231941838919319
BaseRepresentation
bin11101011001010001101…
…00010010101010001000
310120112222210011022111202
432230220310102222020
5113021441020023422
62051553310243332
7132653536202561
oct16545064225210
93515883138452
101010002111112
1135a380952025
121438b37b6548
1374320544b97
1436c54999168
151b4148deb92
hexeb28d12a88

1010002111112 has 64 divisors (see below), whose sum is σ = 2042394480000. Its totient is φ = 466673425920.

The previous prime is 1010002111099. The next prime is 1010002111121. The reversal of 1010002111112 is 2111112000101.

It is a junction number, because it is equal to n+sod(n) for n = 1010002111093 and 1010002111102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52270589 + ... + 52289907.

It is an arithmetic number, because the mean of its divisors is an integer number (31912413750).

Almost surely, 21010002111112 is an apocalyptic number.

It is an amenable number.

1010002111112 is an abundant number, since it is smaller than the sum of its proper divisors (1032392368888).

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

1010002111112 is a wasteful number, since it uses less digits than its factorization.

1010002111112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27774 (or 27770 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 1010002111112 its reverse (2111112000101), we get a palindrome (3121114111213).

The spelling of 1010002111112 in words is "one trillion, ten billion, two million, one hundred eleven thousand, one hundred twelve".

Divisors: 1 2 4 8 19 38 41 76 82 152 164 328 779 1558 3116 6232 8389 16778 19319 33556 38638 67112 77276 154552 159391 318782 343949 367061 637564 687898 734122 792079 1275128 1375796 1468244 1584158 2751592 2936488 3168316 6336632 6535031 13070062 15049501 26140124 30099002 52280248 60198004 120396008 162067091 324134182 648268364 1296536728 3079274729 6158549458 6644750731 12317098916 13289501462 24634197832 26579002924 53158005848 126250263889 252500527778 505001055556 1010002111112