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1020210122020 = 225192294872529
BaseRepresentation
bin11101101100010010100…
…00110000110100100100
310121112100012022222221211
432312021100300310210
5113203342242401040
62100402243321204
7133464520645405
oct16661120606444
93545305288854
101020210122020
1136373a020781
12145882380204
1375289362a1b
14375425c79ac
151b810b8a8ea
hexed89430d24

1020210122020 has 72 divisors (see below), whose sum is σ = 2339106751800. Its totient is φ = 373274625024.

The previous prime is 1020210122003. The next prime is 1020210122053. The reversal of 1020210122020 is 202210120201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 259596544 + 1019950525476 = 16112^2 + 1009926^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2226885 + ... + 2645644.

It is an arithmetic number, because the mean of its divisors is an integer number (32487593775).

Almost surely, 21020210122020 is an apocalyptic number.

1020210122020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020210122020 is an abundant number, since it is smaller than the sum of its proper divisors (1318896629780).

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

1020210122020 is a wasteful number, since it uses less digits than its factorization.

1020210122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4872605 (or 4872584 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 1020210122020 its reverse (202210120201), we get a palindrome (1222420242221).

The spelling of 1020210122020 in words is "one trillion, twenty billion, two hundred ten million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 19 20 29 38 58 76 95 116 145 190 290 361 380 551 580 722 1102 1444 1805 2204 2755 3610 5510 7220 10469 11020 20938 41876 52345 104690 209380 4872529 9745058 19490116 24362645 48725290 92578051 97450580 141303341 185156102 282606682 370312204 462890255 565213364 706516705 925780510 1413033410 1758982969 1851561020 2684763479 2826066820 3517965938 5369526958 7035931876 8794914845 10739053916 13423817395 17589829690 26847634790 35179659380 51010506101 53695269580 102021012202 204042024404 255052530505 510105061010 1020210122020