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2211022200120 = 2335193726209367
BaseRepresentation
bin100000001011001011001…
…100010101110100111000
321211101000221100022112120
4200023023030111310320
5242211133140400440
64411421331041240
7315512122416216
oct40131314256470
97741027308476
102211022200120
11782764433088
122b8616a40220
13130663281846
147902a77dcb6
153c7a8e28dd0
hex202cb315d38

2211022200120 has 128 divisors (see below), whose sum is σ = 7170883084800. Its totient is φ = 543477413376.

The previous prime is 2211022200109. The next prime is 2211022200151. The reversal of 2211022200120 is 210022201122.

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 2211022200120.

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, 13020324 + ... + 13189043.

It is an arithmetic number, because the mean of its divisors is an integer number (56022524100).

Almost surely, 22211022200120 is an apocalyptic number.

2211022200120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2211022200120 is an abundant number, since it is smaller than the sum of its proper divisors (4959860884680).

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

2211022200120 is a wasteful number, since it uses less digits than its factorization.

2211022200120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26209437 (or 26209433 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 2211022200120 its reverse (210022201122), we get a palindrome (2421044401242).

It can be divided in two parts, 2211022 and 200120, that added together give a palindrome (2411142).

The spelling of 2211022200120 in words is "two trillion, two hundred eleven billion, twenty-two million, two hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 37 38 40 57 60 74 76 95 111 114 120 148 152 185 190 222 228 285 296 370 380 444 456 555 570 703 740 760 888 1110 1140 1406 1480 2109 2220 2280 2812 3515 4218 4440 5624 7030 8436 10545 14060 16872 21090 28120 42180 84360 26209367 52418734 78628101 104837468 131046835 157256202 209674936 262093670 314512404 393140505 497977973 524187340 629024808 786281010 969746579 995955946 1048374680 1493933919 1572562020 1939493158 1991911892 2489889865 2909239737 2987867838 3145124040 3878986316 3983823784 4848732895 4979779730 5818479474 5975735676 7469669595 7757972632 9697465790 9959559460 11636958948 11951471352 14546198685 14939339190 18425185001 19394931580 19919118920 23273917896 29092397370 29878678380 36850370002 38789863160 55275555003 58184794740 59757356760 73700740004 92125925005 110551110006 116369589480 147401480008 184251850010 221102220012 276377775015 368503700020 442204440024 552755550030 737007400040 1105511100060 2211022200120