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1021202112 = 26371017523
BaseRepresentation
bin111100110111100…
…100111011000000
32122011120102221110
4330313210323000
54042411431422
6245155523320
734210034430
oct7467447300
92564512843
101021202112
11484495297
12245bb9540
13133751808
14998aa2c0
155e9bd60c
hex3cde4ec0

1021202112 has 112 divisors (see below), whose sum is σ = 3118908672. Its totient is φ = 288844800.

The previous prime is 1021202081. The next prime is 1021202113. The reversal of 1021202112 is 2112021201.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is not an unprimeable number, because it can be changed into a prime (1021202113) 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, 131983 + ... + 139505.

Almost surely, 21021202112 is an apocalyptic number.

1021202112 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 1021202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1559454336).

1021202112 is an abundant number, since it is smaller than the sum of its proper divisors (2097706560).

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

1021202112 is a wasteful number, since it uses less digits than its factorization.

1021202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7646 (or 7636 counting only the distinct ones).

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

The square root of 1021202112 is about 31956.2530970075. The cubic root of 1021202112 is about 1007.0180030817.

Adding to 1021202112 its reverse (2112021201), we get a palindrome (3133223313).

The spelling of 1021202112 in words is "one billion, twenty-one million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 101 112 168 192 202 224 303 336 404 448 606 672 707 808 1212 1344 1414 1616 2121 2424 2828 3232 4242 4848 5656 6464 7523 8484 9696 11312 15046 16968 19392 22569 22624 30092 33936 45138 45248 52661 60184 67872 90276 105322 120368 135744 157983 180552 210644 240736 315966 361104 421288 481472 631932 722208 759823 842576 1263864 1444416 1519646 1685152 2279469 2527728 3039292 3370304 4558938 5055456 5318761 6078584 9117876 10110912 10637522 12157168 15956283 18235752 21275044 24314336 31912566 36471504 42550088 48628672 63825132 72943008 85100176 127650264 145886016 170200352 255300528 340400704 510601056 1021202112