Search a number
-
+
2100020222112 = 253431074754447
BaseRepresentation
bin11110100011110010111…
…101011001100010100000
321102202112000112120201220
4132203302331121202200
5233401320134101422
64244422545255040
7304502313236121
oct36436275314240
97382460476656
102100020222112
1173a68273907a
1229abb8634480
13123053304357
14738da496048
153995ddade5c
hex1e8f2f598a0

2100020222112 has 96 divisors (see below), whose sum is σ = 5693470497792. Its totient is φ = 677337394944.

The previous prime is 2100020222101. The next prime is 2100020222149. The reversal of 2100020222112 is 2112220200012.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 2100020222091 and 2100020222100.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1935528 + ... + 2818919.

It is an arithmetic number, because the mean of its divisors is an integer number (59306984352).

Almost surely, 22100020222112 is an apocalyptic number.

It is an amenable number.

2100020222112 is an abundant number, since it is smaller than the sum of its proper divisors (3593450275680).

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

2100020222112 is a wasteful number, since it uses less digits than its factorization.

2100020222112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4754610 (or 4754602 counting only the distinct ones).

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

Adding to 2100020222112 its reverse (2112220200012), we get a palindrome (4212240422124).

The spelling of 2100020222112 in words is "two trillion, one hundred billion, twenty million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 107 129 172 214 258 321 344 428 516 642 688 856 1032 1284 1376 1712 2064 2568 3424 4128 4601 5136 9202 10272 13803 18404 27606 36808 55212 73616 110424 147232 220848 441696 4754447 9508894 14263341 19017788 28526682 38035576 57053364 76071152 114106728 152142304 204441221 228213456 408882442 456426912 508725829 613323663 817764884 1017451658 1226647326 1526177487 1635529768 2034903316 2453294652 3052354974 3271059536 4069806632 4906589304 6104709948 6542119072 8139613264 9813178608 12209419896 16279226528 19626357216 21875210647 24418839792 43750421294 48837679584 65625631941 87500842588 131251263882 175001685176 262502527764 350003370352 525005055528 700006740704 1050010111056 2100020222112