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212021202112 = 26411131494799
BaseRepresentation
bin1100010101110101110…
…0101100110011000000
3202021021010022000200021
43011131130230303000
511433204411431422
6241222354103224
721214040324326
oct3053534546300
9667233260607
10212021202112
1181a10494285
123511157ab14
1316cbb998315
14a39485bd16
1557ad9d1dc7
hex315d72ccc0

212021202112 has 112 divisors (see below), whose sum is σ = 437814720000. Its totient is φ = 101800509440.

The previous prime is 212021202101. The next prime is 212021202137. The reversal of 212021202112 is 211202120212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 44177889 + ... + 44182687.

It is an arithmetic number, because the mean of its divisors is an integer number (3909060000).

Almost surely, 2212021202112 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 212021202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218907360000).

212021202112 is an abundant number, since it is smaller than the sum of its proper divisors (225793517888).

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

212021202112 is a wasteful number, since it uses less digits than its factorization.

212021202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5114 (or 5104 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 212021202112 its reverse (211202120212), we get a palindrome (423223322324).

The spelling of 212021202112 in words is "two hundred twelve billion, twenty-one million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 41 64 82 113 149 164 226 298 328 452 596 656 904 1192 1312 1808 2384 2624 3616 4633 4768 4799 6109 7232 9266 9536 9598 12218 16837 18532 19196 24436 33674 37064 38392 48872 67348 74128 76784 97744 134696 148256 153568 195488 196759 269392 296512 307136 390976 393518 538784 542287 690317 715051 787036 1077568 1084574 1380634 1430102 1574072 2169148 2761268 2860204 3148144 4338296 5522536 5720408 6296288 8676592 11045072 11440816 12592576 17353184 22090144 22233767 22881632 29317091 34706368 44180288 44467534 45763264 58634182 80800763 88935068 117268364 161601526 177870136 234536728 323203052 355740272 469073456 646406104 711480544 938146912 1292812208 1422961088 1876293824 2585624416 3312831283 5171248832 6625662566 13251325132 26502650264 53005300528 106010601056 212021202112