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10110012020112 = 24373101137208519
BaseRepresentation
bin1001001100011110101110…
…1011001101010110010000
31022210111201010020220200210
42103013223223031112100
52311120301034120422
633300250404244120
72062265344156644
oct223075353152620
938714633226623
1010110012020112
1132486a5244004
12117347a6a0640
135844a6ca3604
1426d481b60c24
15127eb811210c
hex931ebacd590

10110012020112 has 160 divisors (see below), whose sum is σ = 26932730123520. Its totient is φ = 3266893209600.

The previous prime is 10110012020099. The next prime is 10110012020117. The reversal of 10110012020112 is 21102021001101.

10110012020112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (10110012020117) 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, 48380589 + ... + 48589107.

It is an arithmetic number, because the mean of its divisors is an integer number (168329563272).

Almost surely, 210110012020112 is an apocalyptic number.

10110012020112 is a gapful number since it is divisible by the number (12) 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 10110012020112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13466365061760).

10110012020112 is an abundant number, since it is smaller than the sum of its proper divisors (16822718103408).

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

10110012020112 is a wasteful number, since it uses less digits than its factorization.

10110012020112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208841 (or 208835 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10110012020112 its reverse (21102021001101), we get a palindrome (31212033021213).

The spelling of 10110012020112 in words is "ten trillion, one hundred ten billion, twelve million, twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 73 101 137 146 202 219 274 292 303 404 411 438 548 584 606 808 822 876 1096 1168 1212 1616 1644 1752 2192 2424 3288 3504 4848 6576 7373 10001 13837 14746 20002 22119 27674 29492 30003 40004 41511 44238 55348 58984 60006 80008 83022 88476 110696 117968 120012 160016 166044 176952 208519 221392 240024 332088 353904 417038 480048 625557 664176 834076 1010101 1251114 1668152 2020202 2502228 3030303 3336304 4040404 5004456 6060606 8080808 10008912 12121212 15221887 16161616 21060419 24242424 28567103 30443774 42120838 45665661 48484848 57134206 60887548 63181257 84241676 85701309 91331322 114268412 121775096 126362514 168483352 171402618 182662644 228536824 243550192 252725028 336966704 342805236 365325288 457073648 505450056 685610472 730650576 1010900112 1371220944 1537410587 2085398519 2885277403 3074821174 4170797038 4612231761 5770554806 6149642348 6256195557 8341594076 8655832209 9224463522 11541109612 12299284696 12512391114 16683188152 17311664418 18448927044 23082219224 24598569392 25024782228 33366376304 34623328836 36897854088 46164438448 50049564456 69246657672 73795708176 100099128912 138493315344 210625250419 421250500838 631875751257 842501001676 1263751502514 1685002003352 2527503005028 3370004006704 5055006010056 10110012020112