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1002212111112 = 2331941271197807
BaseRepresentation
bin11101001010110000111…
…11110011001100001000
310112210212212220022110020
432211120133303030020
5112410012300023422
62044224311420440
7132256515246402
oct16453037631410
93483785808406
101002212111112
113570436777a3
1214229a984720
137367b67a924
1436716157b72
151b10aa7695c
hexe9587f3308

1002212111112 has 128 divisors (see below), whose sum is σ = 2711710310400. Its totient is φ = 307627891200.

The previous prime is 1002212111101. The next prime is 1002212111119. The reversal of 1002212111112 is 2111112122001.

It is a happy number.

1002212111112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1002212111091 and 1002212111100.

It is not an unprimeable number, because it can be changed into a prime (1002212111119) 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, 4967713 + ... + 5165519.

It is an arithmetic number, because the mean of its divisors is an integer number (21185236800).

Almost surely, 21002212111112 is an apocalyptic number.

1002212111112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002212111112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1355855155200).

1002212111112 is an abundant number, since it is smaller than the sum of its proper divisors (1709498199288).

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

1002212111112 is a wasteful number, since it uses less digits than its factorization.

1002212111112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198147 (or 198143 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 1002212111112 its reverse (2111112122001), we get a palindrome (3113324233113).

The spelling of 1002212111112 in words is "one trillion, two billion, two hundred twelve million, one hundred eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 19 24 38 41 57 76 82 114 123 152 164 228 246 271 328 456 492 542 779 813 984 1084 1558 1626 2168 2337 3116 3252 4674 5149 6232 6504 9348 10298 11111 15447 18696 20596 22222 30894 33333 41192 44444 61788 66666 88888 123576 133332 197807 211109 266664 395614 422218 593421 633327 791228 844436 1186842 1266654 1582456 1688872 2373684 2533308 3758333 4747368 5066616 7516666 8110087 11274999 15033332 16220174 22549998 24330261 30066664 32440348 45099996 48660522 53605697 64880696 90199992 97321044 107211394 154091653 160817091 194642088 214422788 308183306 321634182 428845576 462274959 616366612 643268364 924549918 1018508243 1232733224 1286536728 1849099836 2037016486 2197833577 3055524729 3698199672 4074032972 4395667154 6111049458 6593500731 8148065944 8791334308 12222098916 13187001462 17582668616 24444197832 26374002924 41758837963 52748005848 83517675926 125276513889 167035351852 250553027778 334070703704 501106055556 1002212111112