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211202202112 = 2911101371291
BaseRepresentation
bin1100010010110010100…
…0011101101000000000
3202012011001012111212221
43010230220131220000
511430020230431422
6241005220100424
721154534045246
oct3045450355000
9665131174787
10211202202112
1181630156480
1234b23234714
1316bbb0c2235
14a317b88796
155761b553c7
hex312ca1da00

211202202112 has 80 divisors (see below), whose sum is σ = 464914020384. Its totient is φ = 95050240000.

The previous prime is 211202202103. The next prime is 211202202121.

It is a happy number.

211202202112 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (211202202103) and next prime (211202202121).

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 7 ways as a sum of consecutive naturals, for example, 383187 + ... + 754477.

Almost surely, 2211202202112 is an apocalyptic number.

211202202112 is a gapful number since it is divisible by the number (22) 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 211202202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232457010192).

211202202112 is an abundant number, since it is smaller than the sum of its proper divisors (253711818272).

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

211202202112 is a wasteful number, since it uses less digits than its factorization.

211202202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371421 (or 371405 counting only the distinct ones).

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

It can be divided in two parts, 211202 and 202112, that added together give a palindrome (413314).

The spelling of 211202202112 in words is "two hundred eleven billion, two hundred two million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 101 128 176 202 256 352 404 512 704 808 1111 1408 1616 2222 2816 3232 4444 5632 6464 8888 12928 17776 25856 35552 51712 71104 142208 284416 371291 568832 742582 1485164 2970328 4084201 5940656 8168402 11881312 16336804 23762624 32673608 37500391 47525248 65347216 75000782 95050496 130694432 150001564 190100992 261388864 300003128 412504301 522777728 600006256 825008602 1045555456 1200012512 1650017204 2091110912 2400025024 3300034408 4800050048 6600068816 9600100096 13200137632 19200200192 26400275264 52800550528 105601101056 211202202112