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10200101212020 = 2235434113916097
BaseRepresentation
bin1001010001101110010101…
…1010001100111101110100
31100010010020120222001010010
42110123211122030331310
52314104301402241040
633405510052300220
72101635005522136
oct224334532147564
940103216861103
1010200101212020
113282925244315
121188a21311670
1358cb33423a65
1427398a839056
1512a4dc20ae80
hex946e568cf74

10200101212020 has 48 divisors (see below), whose sum is σ = 28560948591168. Its totient is φ = 2719963637760.

The previous prime is 10200101211959. The next prime is 10200101212027. The reversal of 10200101212020 is 2021210100201.

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 = 10200101211987 and 10200101212005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10200101212027) 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 15 ways as a sum of consecutive naturals, for example, 646612 + ... + 4562708.

It is an arithmetic number, because the mean of its divisors is an integer number (595019762316).

Almost surely, 210200101212020 is an apocalyptic number.

10200101212020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10200101212020 is an abundant number, since it is smaller than the sum of its proper divisors (18360847379148).

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

10200101212020 is a wasteful number, since it uses less digits than its factorization.

10200101212020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3959520 (or 3959518 counting only the distinct ones).

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

Adding to 10200101212020 its reverse (2021210100201), we get a palindrome (12221311312221).

The spelling of 10200101212020 in words is "ten trillion, two hundred billion, one hundred one million, two hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 43411 86822 130233 173644 217055 260466 434110 520932 651165 868220 1302330 2604660 3916097 7832194 11748291 15664388 19580485 23496582 39160970 46993164 58741455 78321940 117482910 234965820 170001686867 340003373734 510005060601 680006747468 850008434335 1020010121202 1700016868670 2040020242404 2550025303005 3400033737340 5100050606010 10200101212020