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21212212202010 = 23251321893319973
BaseRepresentation
bin1001101001010110110100…
…10111111000101000011010
32210002212102112120202102100
410310223122113320220122
510240020102310431020
6113040431124344230
74316350251516264
oct464533227705032
983085375522370
1021212212202010
116839059872265
12246709ab45076
13bab3c29a047b
14534968640b34
1526bba1c5ba90
hex134ada5f8a1a

21212212202010 has 96 divisors (see below), whose sum is σ = 55202444049168. Its totient is φ = 5651392158720.

The previous prime is 21212212201991. The next prime is 21212212202029. The reversal of 21212212202010 is 1020221221212.

It is a happy number.

21212212202010 is a `hidden beast` number, since 2 + 1 + 21 + 221 + 220 + 201 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (21212212201991) and next prime (21212212202029).

It can be written as a sum of positive squares in 8 ways, for example, as 10490078067921 + 10722134134089 = 3238839^2 + 3274467^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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 47 ways as a sum of consecutive naturals, for example, 1062034384 + ... + 1062054356.

Almost surely, 221212212202010 is an apocalyptic number.

21212212202010 is an abundant number, since it is smaller than the sum of its proper divisors (33990231847158).

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

21212212202010 is a wasteful number, since it uses less digits than its factorization.

21212212202010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30240 (or 30237 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 21212212202010 its reverse (1020221221212), we get a palindrome (22232433423222).

The spelling of 21212212202010 in words is "twenty-one trillion, two hundred twelve billion, two hundred twelve million, two hundred two thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1321 2642 3963 6605 7926 8933 11889 13210 17866 19815 19973 23778 26799 39630 39946 44665 53598 59445 59919 80397 89330 99865 118890 119838 133995 160794 179757 199730 267990 299595 359514 401985 599190 803970 898785 1797570 11800493 23600986 26384333 35401479 52768666 59002465 70802958 79152999 106204437 118004930 131921665 158305998 177007395 178418809 212408874 237458997 263843330 354014790 356837618 395764995 474917994 531022185 535256427 791529990 892094045 1062044370 1070512854 1187294985 1605769281 1784188090 2374589970 2676282135 3211538562 5352564270 8028846405 16057692810 235691246689 471382493378 707073740067 1178456233445 1414147480134 2121221220201 2356912466890 3535368700335 4242442440402 7070737400670 10606106101005 21212212202010