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210212200002 = 237243130112781
BaseRepresentation
bin1100001111000110011…
…1111001111001000010
3202002121001100012022010
43003301213321321002
511421003310400002
6240323052553350
721121153134600
oct3036147717102
9662531305263
10210212200002
1181172341212
12348a7782856
1316a90c7597c
14a2624c0870
155704c9b46c
hex30f19f9e42

210212200002 has 96 divisors (see below), whose sum is σ = 500862567744. Its totient is φ = 58614192000.

The previous prime is 210212199997. The next prime is 210212200013. The reversal of 210212200002 is 200002212012.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16440852 + ... + 16453632.

It is an arithmetic number, because the mean of its divisors is an integer number (5217318414).

Almost surely, 2210212200002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210212200002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250431283872).

210212200002 is an abundant number, since it is smaller than the sum of its proper divisors (290650367742).

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

210212200002 is a wasteful number, since it uses less digits than its factorization.

210212200002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14144 (or 14137 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 210212200002 its reverse (200002212012), we get a palindrome (410214412014).

The spelling of 210212200002 in words is "two hundred ten billion, two hundred twelve million, two hundred thousand, two".

Divisors: 1 2 3 6 7 14 21 42 43 49 86 98 129 147 258 294 301 602 903 1301 1806 2107 2602 3903 4214 6321 7806 9107 12642 12781 18214 25562 27321 38343 54642 55943 63749 76686 89467 111886 127498 167829 178934 191247 268401 335658 382494 391601 536802 549583 626269 783202 1099166 1174803 1252538 1648749 1878807 2349606 2741207 3297498 3757614 3847081 5482414 7694162 8223621 11541243 16447242 16628081 23082486 26929567 33256162 49884243 53859134 80788701 99768486 116396567 161577402 232793134 349189701 698379402 715007483 814775969 1430014966 1629551938 2145022449 2444327907 4290044898 4888655814 5005052381 10010104762 15015157143 30030314286 35035366667 70070733334 105106100001 210212200002