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10211212220100 = 22352231479885829
BaseRepresentation
bin1001010010010111101110…
…1011010101011011000100
31100011011220221021201210220
42110211323223111123010
52314300030312020400
633414544403544340
72102510233525533
oct224457353253304
940134827251726
1010211212220100
113287607102121
12118b00238b0b0
13590bb4347558
1427432236431a
1512a93c8c67a0
hex9497bad56c4

10211212220100 has 72 divisors (see below), whose sum is σ = 30828981610560. Its totient is φ = 2604599057280.

The previous prime is 10211212220059. The next prime is 10211212220141. The reversal of 10211212220100 is 102221211201.

It is an interprime number because it is at equal distance from previous prime (10211212220059) and next prime (10211212220141).

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 10211212220100.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 739936015 + ... + 739949814.

Almost surely, 210211212220100 is an apocalyptic number.

10211212220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10211212220100 is an abundant number, since it is smaller than the sum of its proper divisors (20617769390460).

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

10211212220100 is a wasteful number, since it uses less digits than its factorization.

10211212220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1479885869 (or 1479885862 counting only the distinct ones).

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

Adding to 10211212220100 its reverse (102221211201), we get a palindrome (10313433431301).

The spelling of 10211212220100 in words is "ten trillion, two hundred eleven billion, two hundred twelve million, two hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 138 150 230 276 300 345 460 575 690 1150 1380 1725 2300 3450 6900 1479885829 2959771658 4439657487 5919543316 7399429145 8879314974 14798858290 17758629948 22198287435 29597716580 34037374067 36997145725 44396574870 68074748134 73994291450 88793149740 102112122201 110991437175 136149496268 147988582900 170186870335 204224244402 221982874350 340373740670 408448488804 443965748700 510560611005 680747481340 850934351675 1021121222010 1701868703350 2042242444020 2552803055025 3403737406700 5105606110050 10211212220100