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120010002101020 = 225353727181112911
BaseRepresentation
bin11011010010011000000001…
…100010110111001100011100
3120201220211210101111102010101
4123102120001202313030130
5111212220441014213040
61103123500040350444
734164302504506423
oct3322300142671434
9521824711442111
10120010002101020
1135269a575937a9
12115628aaa75424
1351c6b826a1545
14218c72d5bc2ba
15dd1b077cb09a
hex6d26018b731c

120010002101020 has 96 divisors (see below), whose sum is σ = 253241946187776. Its totient is φ = 47772073113600.

The previous prime is 120010002100951. The next prime is 120010002101029. The reversal of 120010002101020 is 20101200010021.

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 = 120010002100988 and 120010002101006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120010002101029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9295168365 + ... + 9295181275.

It is an arithmetic number, because the mean of its divisors is an integer number (2637936939456).

Almost surely, 2120010002101020 is an apocalyptic number.

120010002101020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120010002101020 is an abundant number, since it is smaller than the sum of its proper divisors (133231944086756).

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

120010002101020 is a wasteful number, since it uses less digits than its factorization.

120010002101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15811 (or 15809 counting only the distinct ones).

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

Adding to 120010002101020 its reverse (20101200010021), we get a palindrome (140111202111041).

The spelling of 120010002101020 in words is "one hundred twenty trillion, ten billion, two million, one hundred one thousand, twenty".

Divisors: 1 2 4 5 10 20 353 706 727 1412 1454 1765 1811 2908 3530 3622 3635 7060 7244 7270 9055 12911 14540 18110 25822 36220 51644 64555 129110 256631 258220 513262 639283 1026524 1278566 1283155 1316597 2557132 2566310 2633194 3196415 4557583 5132620 5266388 6392830 6582985 9115166 9386297 12785660 13165970 18230332 18772594 22787915 23381821 26331940 37545188 45575830 46763642 46931485 91151660 93527284 93862970 116909105 187725940 233818210 464758741 467636420 929517482 1859034964 2323793705 3313362841 4647587410 6626725682 8253782813 9295174820 13253451364 16507565626 16566814205 16998583867 33015131252 33133628410 33997167734 41268914065 66267256820 67994335468 82537828130 84992919335 165075656260 169985838670 339971677340 6000500105051 12001000210102 24002000420204 30002500525255 60005001050510 120010002101020