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1002020012112 = 24372982202417
BaseRepresentation
bin11101001010011010000…
…11000000000001010000
310112210101111102200011110
432211031003000001100
5112404114110341422
62044153250213320
7132251663400120
oct16451503000120
93483344380143
101002020012112
11356a551a0999
12142246584240
137364a92b992
14366d8830c80
151b0e8c7d60c
hexe94d0c0050

1002020012112 has 40 divisors (see below), whose sum is σ = 2958344798656. Its totient is φ = 286291431936.

The previous prime is 1002020012089. The next prime is 1002020012117. The reversal of 1002020012112 is 2112100202001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002020012117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1491100873 + ... + 1491101544.

Almost surely, 21002020012112 is an apocalyptic number.

1002020012112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1002020012112 is an abundant number, since it is smaller than the sum of its proper divisors (1956324786544).

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

1002020012112 is a wasteful number, since it uses less digits than its factorization.

1002020012112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2982202435 (or 2982202429 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1002020012112 its reverse (2112100202001), we get a palindrome (3114120214113).

It can be divided in two parts, 100202001 and 2112, that multiplied together give a palindrome (211626626112).

The spelling of 1002020012112 in words is "one trillion, two billion, twenty million, twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 2982202417 5964404834 8946607251 11928809668 17893214502 20875416919 23857619336 35786429004 41750833838 47715238672 62626250757 71572858008 83501667676 125252501514 143145716016 167003335352 250505003028 334006670704 501010006056 1002020012112