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2000102212120 = 235197336050869
BaseRepresentation
bin11101000110101111011…
…000011100001000011000
321002012121120011202122011
4131012233120130020120
5230232202131241440
64130500111435304
7264334253202415
oct35065730341030
97065546152564
102000102212120
11701269613311
12283772225b34
131167bb7a0a0c
146cb3c29910c
1537061e6c9ea
hex1d1af61c218

2000102212120 has 64 divisors (see below), whose sum is σ = 4801975884000. Its totient is φ = 747550798848.

The previous prime is 2000102212093. The next prime is 2000102212123. The reversal of 2000102212120 is 212122010002.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2000102212120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000102212123) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 17969955 + ... + 18080914.

Almost surely, 22000102212120 is an apocalyptic number.

2000102212120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2000102212120 is an abundant number, since it is smaller than the sum of its proper divisors (2801873671880).

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

2000102212120 is a wasteful number, since it uses less digits than its factorization.

2000102212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36050972 (or 36050968 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 2000102212120 its reverse (212122010002), we get a palindrome (2212224222122).

The spelling of 2000102212120 in words is "two trillion, one hundred two million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 73 76 95 146 152 190 292 365 380 584 730 760 1387 1460 2774 2920 5548 6935 11096 13870 27740 55480 36050869 72101738 144203476 180254345 288406952 360508690 684966511 721017380 1369933022 1442034760 2631713437 2739866044 3424832555 5263426874 5479732088 6849665110 10526853748 13158567185 13699330220 21053707496 26317134370 27398660440 50002555303 52634268740 100005110606 105268537480 200010221212 250012776515 400020442424 500025553030 1000051106060 2000102212120