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210033132144 = 243111920936317
BaseRepresentation
bin1100001110011011110…
…0110100001001110000
3202002010120101121101020
43003212330310021300
511420121440212034
6240253214535440
721113550111063
oct3034674641160
9662116347336
10210033132144
1181090255950
1234857807580
1316a62b3a164
14a2467ca8da
1556e41c9249
hex30e6f34270

210033132144 has 80 divisors (see below), whose sum is σ = 623064823680. Its totient is φ = 60296590080.

The previous prime is 210033132109. The next prime is 210033132151. The reversal of 210033132144 is 441231330012.

It is a happy number.

It is a super-2 number, since 2×2100331321442 (a number of 23 digits) contains 22 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 an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10458127 + ... + 10478190.

It is an arithmetic number, because the mean of its divisors is an integer number (7788310296).

Almost surely, 2210033132144 is an apocalyptic number.

210033132144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

210033132144 is an abundant number, since it is smaller than the sum of its proper divisors (413031691536).

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

210033132144 is a wasteful number, since it uses less digits than its factorization.

210033132144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20936358 (or 20936352 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 210033132144 its reverse (441231330012), we get a palindrome (651264462156).

The spelling of 210033132144 in words is "two hundred ten billion, thirty-three million, one hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 33 38 44 48 57 66 76 88 114 132 152 176 209 228 264 304 418 456 528 627 836 912 1254 1672 2508 3344 5016 10032 20936317 41872634 62808951 83745268 125617902 167490536 230299487 251235804 334981072 397790023 460598974 502471608 690898461 795580046 921197948 1004943216 1193370069 1381796922 1591160092 1842395896 2386740138 2763593844 3182320184 3684791792 4375690253 4773480276 5527187688 6364640368 8751380506 9546960552 11054375376 13127070759 17502761012 19093921104 26254141518 35005522024 52508283036 70011044048 105016566072 210033132144