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120210012000100 = 225211811134749481
BaseRepresentation
bin11011010101010010010011…
…000100000100111101100100
3120202121222001102102000121101
4123111102103010010331210
5111224010101033000400
61103355414522525444
734214613105552631
oct3325222304047544
9522558042360541
10120210012000100
11353368639a6260
1211595609966884
13520c9a8a78359
1421982a4b19188
15dd6e11a5856a
hex6d5493104f64

120210012000100 has 72 divisors (see below), whose sum is σ = 284920772715936. Its totient is φ = 43658831520000.

The previous prime is 120210012000097. The next prime is 120210012000107. The reversal of 120210012000100 is 1000210012021.

120210012000100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (120210012000107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66482641 + ... + 68266840.

It is an arithmetic number, because the mean of its divisors is an integer number (3957232954388).

Almost surely, 2120210012000100 is an apocalyptic number.

120210012000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120210012000100 is an abundant number, since it is smaller than the sum of its proper divisors (164710760715836).

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

120210012000100 is a wasteful number, since it uses less digits than its factorization.

120210012000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134750317 (or 134750310 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 120210012000100 its reverse (1000210012021), we get a palindrome (121210222012121).

The spelling of 120210012000100 in words is "one hundred twenty trillion, two hundred ten billion, twelve million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 811 1100 1622 3244 4055 8110 8921 16220 17842 20275 35684 40550 44605 81100 89210 178420 223025 446050 892100 134749481 269498962 538997924 673747405 1347494810 1482244291 2694989620 2964488582 3368737025 5928977164 6737474050 7411221455 13474948100 14822442910 29644885820 37056107275 74112214550 109281829091 148224429100 218563658182 437127316364 546409145455 1092818290910 1202100120001 2185636581820 2404200240002 2732045727275 4808400480004 5464091454550 6010500600005 10928182909100 12021001200010 24042002400020 30052503000025 60105006000050 120210012000100