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1020120010200 = 23345262970371
BaseRepresentation
bin11101101100000111110…
…01000000110111011000
310121112002220202211210000
432312003321000313120
5113203201210311300
62100345304053000
7133462345005624
oct16660371006730
93545086684700
101020120010200
113636a31733a5
12145858164160
13752737a1c15
143753464c184
151b807cdac00
hexed83e40dd8

1020120010200 has 120 divisors (see below), whose sum is σ = 3543027980580. Its totient is φ = 272031998400.

The previous prime is 1020120010199. The next prime is 1020120010213. The reversal of 1020120010200 is 20100210201.

1020120010200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 31468986 + ... + 31501385.

Almost surely, 21020120010200 is an apocalyptic number.

1020120010200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020120010200 is an abundant number, since it is smaller than the sum of its proper divisors (2522907970380).

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

1020120010200 is a wasteful number, since it uses less digits than its factorization.

1020120010200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62970399 (or 62970381 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1020120010200 its reverse (20100210201), we get a palindrome (1040220220401).

The spelling of 1020120010200 in words is "one trillion, twenty billion, one hundred twenty million, ten thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 81 90 100 108 120 135 150 162 180 200 216 225 270 300 324 360 405 450 540 600 648 675 810 900 1080 1350 1620 1800 2025 2700 3240 4050 5400 8100 16200 62970371 125940742 188911113 251881484 314851855 377822226 503762968 566733339 629703710 755644452 944555565 1133466678 1259407420 1511288904 1574259275 1700200017 1889111130 2266933356 2518814840 2833666695 3148518550 3400400034 3778222260 4533866712 4722777825 5100600051 5667333390 6297037100 6800800068 7556444520 8501000085 9445555650 10201200102 11334666780 12594074200 13601600136 14168333475 17002000170 18891111300 20402400204 22669333560 25503000255 28336666950 34004000340 37782222600 40804800408 42505000425 51006000510 56673333900 68008000680 85010000850 102012001020 113346667800 127515001275 170020001700 204024002040 255030002550 340040003400 510060005100 1020120010200