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120211112002100 = 225271391235468777
BaseRepresentation
bin11011010101010011010100…
…101000010000001000110100
3120202122001220002020220200012
4123111103110220100020310
5111224014324133031400
61103400120015435352
734214652263454560
oct3325232450201064
9522561802226605
10120211112002100
1135337278912019
1211595876225b58
13520cb22929c02
14219836ac586a0
15dd6e783ded35
hex6d54d4a10234

120211112002100 has 72 divisors (see below), whose sum is σ = 300268331805120. Its totient is φ = 40918725861120.

The previous prime is 120211112002099. The next prime is 120211112002117. The reversal of 120211112002100 is 1200211112021.

It is a super-2 number, since 2×1202111120021002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 617637089 + ... + 617831688.

Almost surely, 2120211112002100 is an apocalyptic number.

120211112002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120211112002100 is an abundant number, since it is smaller than the sum of its proper divisors (180057219803020).

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

120211112002100 is a wasteful number, since it uses less digits than its factorization.

120211112002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1235468937 (or 1235468930 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 120211112002100 its reverse (1200211112021), we get a palindrome (121411323114121).

The spelling of 120211112002100 in words is "one hundred twenty trillion, two hundred eleven billion, one hundred twelve million, two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 139 140 175 278 350 556 695 700 973 1390 1946 2780 3475 3892 4865 6950 9730 13900 19460 24325 48650 97300 1235468777 2470937554 4941875108 6177343885 8648281439 12354687770 17296562878 24709375540 30886719425 34593125756 43241407195 61773438850 86482814390 123546877700 171730160003 172965628780 216207035975 343460320006 432414071950 686920640012 858650800015 864828143900 1202111120021 1717301600030 2404222240042 3434603200060 4293254000075 4808444480084 6010555600105 8586508000150 12021111200210 17173016000300 24042222400420 30052778000525 60105556001050 120211112002100