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101201212020 = 223519591504627
BaseRepresentation
bin101111001000000001…
…1111111001001110100
3100200012212221020100210
41132100003333021310
53124230002241040
6114254033105420
710211601052236
oct1362003771164
9320185836323
10101201212020
1139a1249a507
12177440b8270
13970a63979c
144c807c8256
152974914480
hex17900ff274

101201212020 has 96 divisors (see below), whose sum is σ = 303333004800. Its totient is φ = 25133272704.

The previous prime is 101201212009. The next prime is 101201212027. The reversal of 101201212020 is 20212102101.

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 = 101201211987 and 101201212005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101201212027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 685054 + ... + 819573.

It is an arithmetic number, because the mean of its divisors is an integer number (3159718800).

Almost surely, 2101201212020 is an apocalyptic number.

101201212020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101201212020 is an abundant number, since it is smaller than the sum of its proper divisors (202131792780).

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

101201212020 is a wasteful number, since it uses less digits than its factorization.

101201212020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1504717 (or 1504715 counting only the distinct ones).

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

Adding to 101201212020 its reverse (20212102101), we get a palindrome (121413314121).

The spelling of 101201212020 in words is "one hundred one billion, two hundred one million, two hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 59 60 76 95 114 118 177 190 228 236 285 295 354 380 570 590 708 885 1121 1140 1180 1770 2242 3363 3540 4484 5605 6726 11210 13452 16815 22420 33630 67260 1504627 3009254 4513881 6018508 7523135 9027762 15046270 18055524 22569405 28587913 30092540 45138810 57175826 85763739 88772993 90277620 114351652 142939565 171527478 177545986 266318979 285879130 343054956 355091972 428818695 443864965 532637958 571758260 857637390 887729930 1065275916 1331594895 1686686867 1715274780 1775459860 2663189790 3373373734 5060060601 5326379580 6746747468 8433434335 10120121202 16866868670 20240242404 25300303005 33733737340 50600606010 101201212020