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20101021000120 = 23516322913462789
BaseRepresentation
bin1001001001000001000100…
…01101110110000110111000
32122011122020201022000202201
410210200202031312012320
510113313342334000440
6110430140452435544
74143152016244054
oct444404215660670
978148221260681
1020101021000120
11644a88235a695
122307867318bb4
13b2a6974a4058
144d6c74b34c64
1524cd18a4e19a
hex1248223761b8

20101021000120 has 64 divisors (see below), whose sum is σ = 45703479492000. Its totient is φ = 7956184601088.

The previous prime is 20101021000087. The next prime is 20101021000127. The reversal of 20101021000120 is 2100012010102.

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 = 20101021000097 and 20101021000106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20101021000127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5238315 + ... + 8224474.

Almost surely, 220101021000120 is an apocalyptic number.

20101021000120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20101021000120 is an abundant number, since it is smaller than the sum of its proper divisors (25602458491880).

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

20101021000120 is a wasteful number, since it uses less digits than its factorization.

20101021000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13463192 (or 13463188 counting only the distinct ones).

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

Adding to 20101021000120 its reverse (2100012010102), we get a palindrome (22201033010222).

The spelling of 20101021000120 in words is "twenty trillion, one hundred one billion, twenty-one million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 40 163 229 326 458 652 815 916 1145 1304 1630 1832 2290 3260 4580 6520 9160 37327 74654 149308 186635 298616 373270 746540 1493080 13462789 26925578 53851156 67313945 107702312 134627890 269255780 538511560 2194434607 3082978681 4388869214 6165957362 8777738428 10972173035 12331914724 15414893405 17555476856 21944346070 24663829448 30829786810 43888692140 61659573620 87777384280 123319147240 502525525003 1005051050006 2010102100012 2512627625015 4020204200024 5025255250030 10050510500060 20101021000120