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10012121210220 = 2235263916169259
BaseRepresentation
bin1001000110110010000011…
…1011011001110101101100
31022110011000221102112100020
42101230200323121311230
52303014311012211340
633143301024402140
72052231461052513
oct221544073316554
938404027375306
1010012121210220
113210131453728
1211584bb176350
135781a644ba6c
14268836c9d67a
151256891579d0
hex91b20ed9d6c

10012121210220 has 96 divisors (see below), whose sum is σ = 28144010442240. Its totient is φ = 2659418549760.

The previous prime is 10012121210219. The next prime is 10012121210227. The reversal of 10012121210220 is 2201212121001.

10012121210220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×100121212102202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10012121210220.

It is not an unprimeable number, because it can be changed into a prime (10012121210227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144525951 + ... + 144595209.

It is an arithmetic number, because the mean of its divisors is an integer number (293166775440).

Almost surely, 210012121210220 is an apocalyptic number.

10012121210220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10012121210220 is an abundant number, since it is smaller than the sum of its proper divisors (18131889232020).

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

10012121210220 is a wasteful number, since it uses less digits than its factorization.

10012121210220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78695 (or 78693 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10012121210220 its reverse (2201212121001), we get a palindrome (12213333331221).

The spelling of 10012121210220 in words is "ten trillion, twelve billion, one hundred twenty-one million, two hundred ten thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 263 526 789 1052 1315 1578 2630 3156 3945 5260 7890 9161 15780 18322 27483 36644 45805 54966 69259 91610 109932 137415 138518 183220 207777 274830 277036 346295 415554 549660 692590 831108 1038885 1385180 2077770 2409343 4155540 4818686 7228029 9637372 12046715 14456058 18215117 24093430 28912116 36140145 36430234 48186860 54645351 72280290 72860468 91075585 109290702 144560580 182151170 218581404 273226755 364302340 546453510 634481699 1092907020 1268963398 1903445097 2537926796 3172408495 3806890194 6344816990 7613780388 9517225485 12689633980 19034450970 38068901940 166868686837 333737373674 500606060511 667474747348 834343434185 1001212121022 1668686868370 2002424242044 2503030302555 3337373736740 5006060605110 10012121210220