Search a number
-
+
2120001100020 = 2233517230936939
BaseRepresentation
bin11110110110011001111…
…010011001100011110100
321111200002112002100102000
4132312121322121203310
5234213230240200040
64301525353015300
7306110414011356
oct36663172314364
97450075070360
102120001100020
117480a6397411
122a2a540b4530
13124bb8a4532b
14748740010d6
153a22d0ee130
hex1ed99e998f4

2120001100020 has 96 divisors (see below), whose sum is σ = 6983533065600. Its totient is φ = 532078705152.

The previous prime is 2120001099989. The next prime is 2120001100039. The reversal of 2120001100020 is 200011000212.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2120001099975 and 2120001100011.

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, 115459290 + ... + 115477649.

It is an arithmetic number, because the mean of its divisors is an integer number (72745136100).

Almost surely, 22120001100020 is an apocalyptic number.

2120001100020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2120001100020 is an abundant number, since it is smaller than the sum of its proper divisors (4863531965580).

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

2120001100020 is a wasteful number, since it uses less digits than its factorization.

2120001100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230936974 (or 230936966 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 2120001100020 its reverse (200011000212), we get a palindrome (2320012100232).

The spelling of 2120001100020 in words is "two trillion, one hundred twenty billion, one million, one hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 45 51 54 60 68 85 90 102 108 135 153 170 180 204 255 270 306 340 459 510 540 612 765 918 1020 1530 1836 2295 3060 4590 9180 230936939 461873878 692810817 923747756 1154684695 1385621634 2078432451 2309369390 2771243268 3464054085 3925927963 4156864902 4618738780 6235297353 6928108170 7851855926 8313729804 10392162255 11777783889 12470594706 13856216340 15703711852 19629639815 20784324510 23555567778 24941189412 31176486765 35333351667 39259279630 41568649020 47111135556 58888919445 62352973530 70666703334 78518559260 106000055001 117777838890 124705947060 141333406668 176666758335 212000110002 235555677780 353333516670 424000220004 530000275005 706667033340 1060000550010 2120001100020