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1002111221112 = 233193176932531
BaseRepresentation
bin11101001010100100111…
…10111011110101111000
310112210121212001120101120
432211102132323311320
5112404310433033422
62044210305145240
7132254151556431
oct16452236736570
93483555046346
101002111221112
11356aa1728631
1214227102b220
13736637b4cc1
14367069b4488
151b101c9845c
hexe9527bbd78

1002111221112 has 64 divisors (see below), whose sum is σ = 2645454211200. Its totient is φ = 315457845120.

The previous prime is 1002111221107. The next prime is 1002111221119. The reversal of 1002111221112 is 2111221112001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1002111221091 and 1002111221100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002111221119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3321714 + ... + 3610817.

It is an arithmetic number, because the mean of its divisors is an integer number (41335222050).

Almost surely, 21002111221112 is an apocalyptic number.

1002111221112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1002111221112 is an abundant number, since it is smaller than the sum of its proper divisors (1643342990088).

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

1002111221112 is a wasteful number, since it uses less digits than its factorization.

1002111221112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6932876 (or 6932872 counting only the distinct ones).

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

Adding to 1002111221112 its reverse (2111221112001), we get a palindrome (3113332333113).

The spelling of 1002111221112 in words is "one trillion, two billion, one hundred eleven million, two hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 317 456 634 951 1268 1902 2536 3804 6023 7608 12046 18069 24092 36138 48184 72276 144552 6932531 13865062 20797593 27730124 41595186 55460248 83190372 131718089 166380744 263436178 395154267 526872356 790308534 1053744712 1580617068 2197612327 3161234136 4395224654 6592836981 8790449308 13185673962 17580898616 26371347924 41754634213 52742695848 83509268426 125263902639 167018536852 250527805278 334037073704 501055610556 1002111221112