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1020212002020 = 2235509259112893
BaseRepresentation
bin11101101100010010101…
…11111011110011100100
310121112100022212111211110
432312021113323303210
5113203343233031040
62100402351505020
7133464542635431
oct16661127736344
93545308774743
101020212002020
113637400951a2
12145882b28170
1375289870653
1437542956b88
151b810e0c980
hexed895fbce4

1020212002020 has 96 divisors (see below), whose sum is σ = 2863532528640. Its totient is φ = 271396195840.

The previous prime is 1020212001997. The next prime is 1020212002039. The reversal of 1020212002020 is 202002120201.

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

It is a junction number, because it is equal to n+sod(n) for n = 1020212001987 and 1020212002005.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79122694 + ... + 79135586.

It is an arithmetic number, because the mean of its divisors is an integer number (29828463840).

Almost surely, 21020212002020 is an apocalyptic number.

1020212002020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020212002020 is an abundant number, since it is smaller than the sum of its proper divisors (1843320526620).

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

1020212002020 is a wasteful number, since it uses less digits than its factorization.

1020212002020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16005 (or 16003 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 1020212002020 its reverse (202002120201), we get a palindrome (1222214122221).

The spelling of 1020212002020 in words is "one trillion, twenty billion, two hundred twelve million, two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 509 1018 1527 2036 2545 2591 3054 5090 5182 6108 7635 7773 10180 10364 12893 12955 15270 15546 25786 25910 30540 31092 38679 38865 51572 51820 64465 77358 77730 128930 154716 155460 193395 257860 386790 773580 1318819 2637638 3956457 5275276 6562537 6594095 7912914 13125074 13188190 15825828 19687611 19782285 26250148 26376380 32812685 33405763 39375222 39564570 65625370 66811526 78750444 79129140 98438055 100217289 131250740 133623052 167028815 196876110 200434578 334057630 393752220 400869156 501086445 668115260 1002172890 2004345780 17003533367 34007066734 51010600101 68014133468 85017666835 102021200202 170035333670 204042400404 255053000505 340070667340 510106001010 1020212002020