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1021022100020 = 2251379104947387
BaseRepresentation
bin11101101101110011010…
…10001101101000110100
310121121102210012202101002
432312321222031220310
5113212023124200040
62101015011022432
7133523610440246
oct16667152155064
93547383182332
101021022100020
113640163a287a
12145a6a29aa18
137538864a890
14375bc390096
151b85c0cba15
hexedb9a8da34

1021022100020 has 96 divisors (see below), whose sum is σ = 2340588096000. Its totient is φ = 371858033664.

The previous prime is 1021022100017. The next prime is 1021022100101. The reversal of 1021022100020 is 200012201201.

It is a happy number.

It is a super-2 number, since 2×10210221000202 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1021022099974 and 1021022100010.

It is a congruent number.

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, 21522767 + ... + 21570153.

It is an arithmetic number, because the mean of its divisors is an integer number (24381126000).

Almost surely, 21021022100020 is an apocalyptic number.

1021022100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1021022100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1170294048000).

1021022100020 is an abundant number, since it is smaller than the sum of its proper divisors (1319565995980).

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

1021022100020 is a wasteful number, since it uses less digits than its factorization.

1021022100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48537 (or 48535 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1021022100020 its reverse (200012201201), we get a palindrome (1221034301221).

The spelling of 1021022100020 in words is "one trillion, twenty-one billion, twenty-two million, one hundred thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 79 130 158 260 316 395 790 1027 1049 1580 2054 2098 4108 4196 5135 5245 10270 10490 13637 20540 20980 27274 47387 54548 68185 82871 94774 136370 165742 189548 236935 272740 331484 414355 473870 616031 828710 947740 1077323 1232062 1657420 2154646 2464124 3080155 3743573 4309292 5386615 6160310 7487146 10773230 12320620 14974292 18717865 21546460 37435730 48666449 49708963 74871460 97332898 99417926 194665796 198835852 243332245 248544815 486664490 497089630 646216519 973328980 994179260 1292433038 2584866076 3231082595 3927008077 6462165190 7854016154 12924330380 15708032308 19635040385 39270080770 51051105001 78540161540 102102210002 204204420004 255255525005 510511050010 1021022100020