Search a number
-
+
20212112100120 = 2335355697473533
BaseRepresentation
bin1001001100001111111111…
…10000110000101100011000
32122120020222211210121221220
410212013333300300230120
510122123401144200440
6110553152140332040
74154163660102063
oct446077760605430
978506884717856
1020212112100120
1164929aa396336
1223252ab544020
13b37cbca56955
144dc3b2bbb8da
15250b6b8208d0
hex1261ffc30b18

20212112100120 has 64 divisors (see below), whose sum is σ = 60636634823520. Its totient is φ = 5389870024704.

The previous prime is 20212112100107. The next prime is 20212112100121. The reversal of 20212112100120 is 2100121121202.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20212112100120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20212112100121) 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, 42446874 + ... + 42920406.

Almost surely, 220212112100120 is an apocalyptic number.

20212112100120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20212112100120 is an abundant number, since it is smaller than the sum of its proper divisors (40424522723400).

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

20212112100120 is a wasteful number, since it uses less digits than its factorization.

20212112100120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829244 (or 829240 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 20212112100120 its reverse (2100121121202), we get a palindrome (22312233221322).

The spelling of 20212112100120 in words is "twenty trillion, two hundred twelve billion, one hundred twelve million, one hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 355697 473533 711394 947066 1067091 1420599 1422788 1778485 1894132 2134182 2367665 2841198 2845576 3556970 3788264 4268364 4735330 5335455 5682396 7102995 7113940 8536728 9470660 10670910 11364792 14205990 14227880 18941320 21341820 28411980 42683640 56823960 168434267501 336868535002 505302802503 673737070004 842171337505 1010605605006 1347474140008 1684342675010 2021211210012 2526514012515 3368685350020 4042422420024 5053028025030 6737370700040 10106056050060 20212112100120