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2100020312112 = 243195479420269
BaseRepresentation
bin11110100011110010111…
…101101111100000110000
321102202112000201011012020
4132203302331233200300
5233401320144441422
64244422551231440
7304502314062402
oct36436275574060
97382460634166
102100020312112
1173a68279a758
1229abb8678580
131230533362c8
14738da4bab72
153995ddca95c
hex1e8f2f6f830

2100020312112 has 80 divisors (see below), whose sum is σ = 5711637408000. Its totient is φ = 663041693952.

The previous prime is 2100020312101. The next prime is 2100020312123. The reversal of 2100020312112 is 2112130200012.

It is an interprime number because it is at equal distance from previous prime (2100020312101) and next prime (2100020312123).

It is a super-2 number, since 2×21000203121122 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2100020312091 and 2100020312100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4786714 + ... + 5206982.

It is an arithmetic number, because the mean of its divisors is an integer number (71395467600).

Almost surely, 22100020312112 is an apocalyptic number.

It is an amenable number.

2100020312112 is an abundant number, since it is smaller than the sum of its proper divisors (3611617095888).

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

2100020312112 is a wasteful number, since it uses less digits than its factorization.

2100020312112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425778 (or 425772 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 2100020312112 its reverse (2112130200012), we get a palindrome (4212150512124).

The spelling of 2100020312112 in words is "two trillion, one hundred billion, twenty million, three hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 912 5479 10958 16437 21916 32874 43832 65748 87664 104101 131496 208202 262992 312303 416404 420269 624606 832808 840538 1249212 1260807 1665616 1681076 2498424 2521614 3362152 4996848 5043228 6724304 7985111 10086456 15970222 20172912 23955333 31940444 47910666 63880888 95821332 127761776 191642664 383285328 2302653851 4605307702 6907961553 9210615404 13815923106 18421230808 27631846212 36842461616 43750423169 55263692424 87500846338 110527384848 131251269507 175001692676 262502539014 350003385352 525005078028 700006770704 1050010156056 2100020312112