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212021121048 = 233116731737813
BaseRepresentation
bin1100010101110101110…
…0011001000000011000
3202021021010010220110220
43011131130121000120
511433204401333143
6241222352240040
721214036536102
oct3053534310030
9667233126426
10212021121048
1181a10439390
1235111540020
1316cbb96a459
14a39483a572
1557ad9b7d83
hex315d719018

212021121048 has 128 divisors (see below), whose sum is σ = 588736753920. Its totient is φ = 63088565760.

The previous prime is 212021121047. The next prime is 212021121071. The reversal of 212021121048 is 840121120212.

It is a happy number.

It is a super-3 number, since 3×2120211210483 (a number of 35 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212021121047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5588190 + ... + 5626002.

It is an arithmetic number, because the mean of its divisors is an integer number (4599505890).

Almost surely, 2212021121048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212021121048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294368376960).

212021121048 is an abundant number, since it is smaller than the sum of its proper divisors (376715632872).

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

212021121048 is a wasteful number, since it uses less digits than its factorization.

212021121048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38217 (or 38213 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The spelling of 212021121048 in words is "two hundred twelve billion, twenty-one million, one hundred twenty-one thousand, forty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 67 88 132 134 201 264 268 317 402 536 634 737 804 951 1268 1474 1608 1902 2211 2536 2948 3487 3804 4422 5896 6974 7608 8844 10461 13948 17688 20922 21239 27896 37813 41844 42478 63717 75626 83688 84956 113439 127434 151252 169912 226878 233629 254868 302504 415943 453756 467258 509736 700887 831886 907512 934516 1247829 1401774 1663772 1869032 2495658 2533471 2803548 3327544 4991316 5066942 5607096 7600413 9982632 10133884 11986721 15200826 20267768 23973442 27868181 30401652 35960163 47946884 55736362 60803304 71920326 83604543 95893768 111472724 131853931 143840652 167209086 222945448 263707862 287681304 334418172 395561793 527415724 668836344 791123586 803110307 1054831448 1582247172 1606220614 2409330921 3164494344 3212441228 4818661842 6424882456 8834213377 9637323684 17668426754 19274647368 26502640131 35336853508 53005280262 70673707016 106010560524 212021121048