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1020212201120 = 25576547139133
BaseRepresentation
bin11101101100010010110…
…00101100011010100000
310121112100100020121221112
432312021120230122200
5113203343310413440
62100402400042452
7133464544425050
oct16661130543240
93545310217845
101020212201120
11363740210842
12145883003428
1375289910168
14375429a9560
151b810e4b965
hexed8962c6a0

1020212201120 has 96 divisors (see below), whose sum is σ = 2755013482368. Its totient is φ = 349731099648.

The previous prime is 1020212201087. The next prime is 1020212201137. The reversal of 1020212201120 is 211022120201.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 1020212201095 and 1020212201104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7263074 + ... + 7402206.

It is an arithmetic number, because the mean of its divisors is an integer number (28698057108).

Almost surely, 21020212201120 is an apocalyptic number.

1020212201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020212201120 is an abundant number, since it is smaller than the sum of its proper divisors (1734801281248).

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

1020212201120 is a wasteful number, since it uses less digits than its factorization.

1020212201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145702 (or 145694 counting only the distinct ones).

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

Adding to 1020212201120 its reverse (211022120201), we get a palindrome (1231234321321).

The spelling of 1020212201120 in words is "one trillion, twenty billion, two hundred twelve million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 6547 13094 26188 32735 45829 52376 65470 91658 104752 130940 139133 183316 209504 229145 261880 278266 366632 458290 523760 556532 695665 733264 916580 973931 1047520 1113064 1391330 1466528 1833160 1947862 2226128 2782660 3666320 3895724 4452256 4869655 5565320 7332640 7791448 9739310 11130640 15582896 19478620 22261280 31165792 38957240 77914480 155828960 910903751 1821807502 3643615004 4554518755 6376326257 7287230008 9109037510 12752652514 14574460016 18218075020 25505305028 29148920032 31881631285 36436150040 51010610056 63763262570 72872300080 102021220112 127526525140 145744600160 204042440224 255053050280 510106100560 1020212201120