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10210122000120 = 2335718796468817
BaseRepresentation
bin1001010010010011101010…
…1100011110011011111000
31100011002002221211211011010
42110210322230132123320
52314240312213000440
633414244300433520
72102441225024610
oct224447254363370
940132087754133
1010210122000120
1132870a7767779
12118a9592488a0
13590a6c50c283
1427425b64da40
1512a8c6d23580
hex9493ab1e6f8

10210122000120 has 128 divisors (see below), whose sum is σ = 35024768179200. Its totient is φ = 2332499798016.

The previous prime is 10210122000103. The next prime is 10210122000121. The reversal of 10210122000120 is 2100022101201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10210122000096 and 10210122000105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10210122000121) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1656049 + ... + 4812768.

It is an arithmetic number, because the mean of its divisors is an integer number (273631001400).

Almost surely, 210210122000120 is an apocalyptic number.

10210122000120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10210122000120 is an abundant number, since it is smaller than the sum of its proper divisors (24814646179080).

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

10210122000120 is a wasteful number, since it uses less digits than its factorization.

10210122000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6470717 (or 6470713 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10210122000120 its reverse (2100022101201), we get a palindrome (12310144101321).

The spelling of 10210122000120 in words is "ten trillion, two hundred ten billion, one hundred twenty-two million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 1879 3758 5637 7516 9395 11274 13153 15032 18790 22548 26306 28185 37580 39459 45096 52612 56370 65765 75160 78918 105224 112740 131530 157836 197295 225480 263060 315672 394590 526120 789180 1578360 6468817 12937634 19406451 25875268 32344085 38812902 45281719 51750536 64688170 77625804 90563438 97032255 129376340 135845157 155251608 181126876 194064510 226408595 258752680 271690314 362253752 388129020 452817190 543380628 679225785 776258040 905634380 1086761256 1358451570 1811268760 2716903140 5433806280 12154907143 24309814286 36464721429 48619628572 60774535715 72929442858 85084350001 97239257144 121549071430 145858885716 170168700002 182323607145 243098142860 255253050003 291717771432 340337400004 364647214290 425421750005 486196285720 510506100006 680674800008 729294428580 850843500010 1021012200012 1276265250015 1458588857160 1701687000020 2042024400024 2552530500030 3403374000040 5105061000060 10210122000120