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212102109978 = 23116792951631
BaseRepresentation
bin1100010110001001000…
…1010101101100011010
3202021110202112120101220
43011202101111230122
511433341120004403
6241234404152510
721216042121323
oct3054221255432
9667422476356
10212102109978
1181a52125590
1235134698736
13170026859b5
14a3a14bd44a
1557b5b64953
hex3162455b1a

212102109978 has 64 divisors (see below), whose sum is σ = 470189905920. Its totient is φ = 63244684800.

The previous prime is 212102109929. The next prime is 212102109979. The reversal of 212102109978 is 879901201212.

It is not an unprimeable number, because it can be changed into a prime (212102109979) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4082223 + ... + 4133853.

It is an arithmetic number, because the mean of its divisors is an integer number (7346717280).

Almost surely, 2212102109978 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212102109978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235094952960).

212102109978 is an abundant number, since it is smaller than the sum of its proper divisors (258087795942).

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

212102109978 is a wasteful number, since it uses less digits than its factorization.

212102109978 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52643.

The product of its (nonzero) digits is 36288, while the sum is 42.

The spelling of 212102109978 in words is "two hundred twelve billion, one hundred two million, one hundred nine thousand, nine hundred seventy-eight".

Divisors: 1 2 3 6 11 22 33 66 67 134 201 402 737 929 1474 1858 2211 2787 4422 5574 10219 20438 30657 51631 61314 62243 103262 124486 154893 186729 309786 373458 567941 684673 1135882 1369346 1703823 2054019 3407646 3459277 4108038 6918554 10377831 20755662 38052047 47965199 76104094 95930398 114156141 143895597 228312282 287791194 527617189 1055234378 1582851567 3165703134 3213668333 6427336666 9641004999 19282009998 35350351663 70700703326 106051054989 212102109978