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100212110202200 = 23523136269445649
BaseRepresentation
bin10110110010010001110011…
…001110110001010101011000
3111010211011222021002020010112
4112302101303032301111120
5101113333400202432300
6553044450300303452
730052041340126223
oct2662216316612530
9433734867066115
10100212110202200
1129a26798759547
12b2a5940b41b88
1343bbc663a3029
141aa64133da5ba
15b8bb30ed1e35
hex5b24733b1558

100212110202200 has 96 divisors (see below), whose sum is σ = 240516235440000. Its totient is φ = 38790627993600.

The previous prime is 100212110202167. The next prime is 100212110202233. The reversal of 100212110202200 is 2202011212001.

It is an interprime number because it is at equal distance from previous prime (100212110202167) and next prime (100212110202233).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 224644976 + ... + 225090624.

It is an arithmetic number, because the mean of its divisors is an integer number (2505377452500).

Almost surely, 2100212110202200 is an apocalyptic number.

100212110202200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100212110202200 is an abundant number, since it is smaller than the sum of its proper divisors (140304125237800).

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

100212110202200 is a wasteful number, since it uses less digits than its factorization.

100212110202200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481965 (or 481956 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 100212110202200 its reverse (2202011212001), we get a palindrome (102414121414201).

The spelling of 100212110202200 in words is "one hundred trillion, two hundred twelve billion, one hundred ten million, two hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 155 200 248 310 620 775 1240 1550 3100 6200 36269 72538 145076 181345 290152 362690 445649 725380 891298 906725 1124339 1450760 1782596 1813450 2228245 2248678 3565192 3626900 4456490 4497356 5621695 7253800 8912980 8994712 11141225 11243390 13815119 17825960 22282450 22486780 27630238 28108475 44564900 44973560 55260476 56216950 69075595 89129800 110520952 112433900 138151190 224867800 276302380 345377975 552604760 690755950 1381511900 2763023800 16163243581 32326487162 64652974324 80816217905 129305948648 161632435810 323264871620 404081089525 501060551011 646529743240 808162179050 1002121102022 1616324358100 2004242204044 2505302755055 3232648716200 4008484408088 5010605510110 10021211020220 12526513775275 20042422040440 25053027550550 50106055101100 100212110202200