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212021113344 = 2937110119249
BaseRepresentation
bin1100010101110101110…
…0010111001000000000
3202021021010010111220120
43011131130113020000
511433204401111334
6241222352140240
721214036504455
oct3053534271000
9667233114816
10212021113344
1181a10433617
1235111537680
1316cbb966ab1
14a39483782c
1557ad9b5949
hex315d717200

212021113344 has 160 divisors (see below), whose sum is σ = 578494224000. Its totient is φ = 68984832000.

The previous prime is 212021113321. The next prime is 212021113351. The reversal of 212021113344 is 443311120212.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11005032 + ... + 11024280.

It is an arithmetic number, because the mean of its divisors is an integer number (3615588900).

Almost surely, 2212021113344 is an apocalyptic number.

212021113344 is a gapful number since it is divisible by the number (24) 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 212021113344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289247112000).

212021113344 is an abundant number, since it is smaller than the sum of its proper divisors (366473110656).

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

212021113344 is a wasteful number, since it uses less digits than its factorization.

212021113344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19442 (or 19426 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 212021113344 its reverse (443311120212), we get a palindrome (655332233556).

The spelling of 212021113344 in words is "two hundred twelve billion, twenty-one million, one hundred thirteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 96 101 128 142 192 202 213 256 284 303 384 404 426 512 568 606 768 808 852 1136 1212 1536 1616 1704 2272 2424 3232 3408 4544 4848 6464 6816 7171 9088 9696 12928 13632 14342 18176 19249 19392 21513 25856 27264 28684 36352 38498 38784 43026 51712 54528 57368 57747 76996 77568 86052 109056 114736 115494 153992 155136 172104 229472 230988 307984 344208 458944 461976 615968 688416 917888 923952 1231936 1366679 1376832 1835776 1847904 1944149 2463872 2733358 2753664 3671552 3695808 3888298 4100037 4927744 5466716 5507328 5832447 7391616 7776596 8200074 9855488 10933432 11014656 11664894 14783232 15553192 16400148 21866864 23329788 29566464 31106384 32800296 43733728 46659576 62212768 65600592 87467456 93319152 124425536 131201184 138034579 174934912 186638304 248851072 262402368 276069158 349869824 373276608 414103737 497702144 524804736 552138316 699739648 746553216 828207474 995404288 1049609472 1104276632 1493106432 1656414948 2099218944 2208553264 2986212864 3312829896 4417106528 6625659792 8834213056 13251319584 17668426112 26502639168 35336852224 53005278336 70673704448 106010556672 212021113344