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1021010021020 = 2251133114021011
BaseRepresentation
bin11101101101110001111…
…00001000101010011100
310121121101221111002002201
432312320330020222130
5113212012031133040
62101013500101244
7133523402661433
oct16667074105234
93547357432081
101021010021020
1136400a5a2730
12145a66234824
1375385cab942
14375ba92811a
151b85aee2a9a
hexedb8f08a9c

1021010021020 has 48 divisors (see below), whose sum is σ = 2346107895936. Its totient is φ = 370154664000.

The previous prime is 1021010020837. The next prime is 1021010021069. The reversal of 1021010021020 is 201200101201.

It is a super-2 number, since 2×10210100210202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1021010020988 and 1021010021006.

It is a congruent number.

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, 6937686 + ... + 7083325.

It is an arithmetic number, because the mean of its divisors is an integer number (48877247832).

Almost surely, 21021010021020 is an apocalyptic number.

1021010021020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1021010021020 is an abundant number, since it is smaller than the sum of its proper divisors (1325097874916).

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

1021010021020 is a wasteful number, since it uses less digits than its factorization.

1021010021020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14021362 (or 14021360 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1021010021020 its reverse (201200101201), we get a palindrome (1222210122221).

The spelling of 1021010021020 in words is "one trillion, twenty-one billion, ten million, twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 331 662 1324 1655 3310 3641 6620 7282 14564 18205 36410 72820 14021011 28042022 56084044 70105055 140210110 154231121 280420220 308462242 616924484 771155605 1542311210 3084622420 4640954641 9281909282 18563818564 23204773205 46409546410 51050501051 92819092820 102101002102 204202004204 255252505255 510505010510 1021010021020