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10212222020112 = 2432721447310377
BaseRepresentation
bin1001010010011011011111…
…0111011010101000010000
31100011021112022101220000100
42110212313313122220100
52314304112314120422
633415232515252400
72102544244634100
oct224466767325020
940137468356010
1010212222020112
113287a85109892
12118b2445aa100
13591015606258
142743ba503200
1512a99b3917ac
hex949b7ddaa10

10212222020112 has 90 divisors (see below), whose sum is σ = 33246166693038. Its totient is φ = 2917777718016.

The previous prime is 10212222020111. The next prime is 10212222020153. The reversal of 10212222020112 is 21102022221201.

It is a happy number.

10212222020112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 9098403518736 + 1113818501376 = 3016356^2 + 1055376^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10212222020111) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 723648133 + ... + 723662244.

Almost surely, 210212222020112 is an apocalyptic number.

10212222020112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10212222020112 is an abundant number, since it is smaller than the sum of its proper divisors (23033944672926).

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

10212222020112 is a wasteful number, since it uses less digits than its factorization.

10212222020112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1447310405 (or 1447310389 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10212222020112 its reverse (21102022221201), we get a palindrome (31314244241313).

The spelling of 10212222020112 in words is "ten trillion, two hundred twelve billion, two hundred twenty-two million, twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 784 882 1008 1176 1764 2352 3528 7056 1447310377 2894620754 4341931131 5789241508 8683862262 10131172639 11578483016 13025793393 17367724524 20262345278 23156966032 26051586786 30393517917 34735449048 40524690556 52103173572 60787035834 69470898096 70918208473 81049381112 91180553751 104206347144 121574071668 141836416946 162098762224 182361107502 208412694288 212754625419 243148143336 283672833892 364722215004 425509250838 486296286672 567345667784 638263876257 729444430008 851018501676 1134691335568 1276527752514 1458888860016 1702037003352 2553055505028 3404074006704 5106111010056 10212222020112