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1020222011120 = 245135931654271
BaseRepresentation
bin11101101100010011111…
…10000111011011110000
310121112101000201000201212
432312021332013123300
5113203403313323440
62100403350215252
7133465024003454
oct16661176073360
93545330630655
101020222011120
11363745801184
12145886354528
137528b9663b0
1437544000664
151b811c38465
hexed89f876f0

1020222011120 has 80 divisors (see below), whose sum is σ = 2558788227072. Its totient is φ = 376061890560.

The previous prime is 1020222011119. The next prime is 1020222011173. The reversal of 1020222011120 is 211102220201.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 1020222011095 and 1020222011104.

It is a congruent number.

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, 210416 + ... + 1443855.

Almost surely, 21020222011120 is an apocalyptic number.

1020222011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020222011120 is an abundant number, since it is smaller than the sum of its proper divisors (1538566215952).

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

1020222011120 is a wasteful number, since it uses less digits than its factorization.

1020222011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1654890 (or 1654884 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1020222011120 its reverse (211102220201), we get a palindrome (1231324231321).

The spelling of 1020222011120 in words is "one trillion, twenty billion, two hundred twenty-two million, eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 593 1040 1186 2372 2965 4744 5930 7709 9488 11860 15418 23720 30836 38545 47440 61672 77090 123344 154180 308360 616720 1654271 3308542 6617084 8271355 13234168 16542710 21505523 26468336 33085420 43011046 66170840 86022092 107527615 132341680 172044184 215055230 344088368 430110460 860220920 980982703 1720441840 1961965406 3923930812 4904913515 7847861624 9809827030 12752775139 15695723248 19619654060 25505550278 39239308120 51011100556 63763875695 78478616240 102022201112 127527751390 204044402224 255055502780 510111005560 1020222011120