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2021202210100 = 2252151193369247
BaseRepresentation
bin11101011010011001000…
…010100010110100110100
321011020002001112201102211
4131122121002202310310
5231103410231210400
64144305533543204
7266012163213463
oct35323102426464
97136061481384
102021202210100
1170a206a56077
12287880644b04
131187a2028418
146db806bc9da
153789956ddba
hex1d6990a2d34

2021202210100 has 72 divisors (see below), whose sum is σ = 4417403045888. Its totient is φ = 802699632000.

The previous prime is 2021202210089. The next prime is 2021202210113. The reversal of 2021202210100 is 10122021202.

It is a happy number.

It is a super-2 number, since 2×20212022101002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 29153677 + ... + 29222923.

Almost surely, 22021202210100 is an apocalyptic number.

2021202210100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2021202210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2208701522944).

2021202210100 is an abundant number, since it is smaller than the sum of its proper divisors (2396200835788).

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

2021202210100 is a wasteful number, since it uses less digits than its factorization.

2021202210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71345 (or 71338 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 2021202210100 its reverse (10122021202), we get a palindrome (2031324231302).

The spelling of 2021202210100 in words is "two trillion, twenty-one billion, two hundred two million, two hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 151 302 604 755 1510 1933 3020 3775 3866 7550 7732 9665 15100 19330 38660 48325 69247 96650 138494 193300 276988 291883 346235 583766 692470 1167532 1384940 1459415 1731175 2918830 3462350 5837660 6924700 7297075 10456297 14594150 20912594 29188300 41825188 52281485 104562970 133854451 209125940 261407425 267708902 522814850 535417804 669272255 1045629700 1338544510 2677089020 3346361275 6692722550 13385445100 20212022101 40424044202 80848088404 101060110505 202120221010 404240442020 505300552525 1010601105050 2021202210100