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210220100112 = 243113121160869
BaseRepresentation
bin1100001111001000011…
…0000010101000010000
3202002121121012120012210
43003302012002220100
511421012321200422
6240323534152120
721121310240151
oct3036206025020
9662547176183
10210220100112
1181176847730
12348aa352640
1316a927b07a9
14a263579928
15570580c10c
hex30f2182a10

210220100112 has 160 divisors (see below), whose sum is σ = 614457815040. Its totient is φ = 61354944000.

The previous prime is 210220100087. The next prime is 210220100137. The reversal of 210220100112 is 211001022012.

It is an interprime number because it is at equal distance from previous prime (210220100087) and next prime (210220100137).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3423214 + ... + 3484082.

It is an arithmetic number, because the mean of its divisors is an integer number (3840361344).

Almost surely, 2210220100112 is an apocalyptic number.

210220100112 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 210220100112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307228907520).

210220100112 is an abundant number, since it is smaller than the sum of its proper divisors (404237714928).

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

210220100112 is a wasteful number, since it uses less digits than its factorization.

210220100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61133 (or 61127 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 210220100112 its reverse (211001022012), we get a palindrome (421221122124).

The spelling of 210220100112 in words is "two hundred ten billion, two hundred twenty million, one hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 33 44 48 62 66 88 93 124 132 176 186 211 248 264 341 372 422 496 528 633 682 744 844 1023 1266 1364 1488 1688 2046 2321 2532 2728 3376 4092 4642 5064 5456 6541 6963 8184 9284 10128 13082 13926 16368 18568 19623 26164 27852 37136 39246 52328 55704 60869 71951 78492 104656 111408 121738 143902 156984 182607 215853 243476 287804 313968 365214 431706 486952 575608 669559 730428 863412 973904 1151216 1339118 1460856 1726824 1886939 2008677 2678236 2921712 3453648 3773878 4017354 5356472 5660817 7547756 8034708 10712944 11321634 12843359 15095512 16069416 20756329 22643268 25686718 30191024 32138832 38530077 41512658 45286536 51373436 62268987 77060154 83025316 90573072 102746872 124537974 141276949 154120308 166050632 205493744 249075948 282553898 308240616 332101264 398144129 423830847 498151896 565107796 616481232 796288258 847661694 996303792 1130215592 1194432387 1592576516 1695323388 2260431184 2388864774 3185153032 3390646776 4379585419 4777729548 6370306064 6781293552 8759170838 9555459096 13138756257 17518341676 19110918192 26277512514 35036683352 52555025028 70073366704 105110050056 210220100112