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10030021221132 = 223211239105976303
BaseRepresentation
bin1001000111110100101111…
…0110100001101100001100
31022111212020102110022010100
42101331023312201230030
52303312440413034012
633155421140011100
72053434163456323
oct221751366415414
938455212408110
1010030021221132
113217787551880
12115ba75990a90
13579a99a407b3
142696542dd0ba
15125d8585e8dc
hex91f4bda1b0c

10030021221132 has 72 divisors (see below), whose sum is σ = 27774269752320. Its totient is φ = 3026683185120.

The previous prime is 10030021221127. The next prime is 10030021221137. The reversal of 10030021221132 is 23112212003001.

10030021221132 is a `hidden beast` number, since 1 + 0 + 0 + 300 + 212 + 21 + 132 = 666.

10030021221132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10030021221127) and next prime (10030021221137).

It is a super-2 number, since 2×100300212211322 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10030021221137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52893508 + ... + 53082795.

It is an arithmetic number, because the mean of its divisors is an integer number (385753746560).

Almost surely, 210030021221132 is an apocalyptic number.

10030021221132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10030021221132 is an abundant number, since it is smaller than the sum of its proper divisors (17744248531188).

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

10030021221132 is a wasteful number, since it uses less digits than its factorization.

10030021221132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105976563 (or 105976558 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10030021221132 its reverse (23112212003001), we get a palindrome (33142233224133).

The spelling of 10030021221132 in words is "ten trillion, thirty billion, twenty-one million, two hundred twenty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 239 396 478 717 956 1434 2151 2629 2868 4302 5258 7887 8604 10516 15774 23661 31548 47322 94644 105976303 211952606 317928909 423905212 635857818 953786727 1165739333 1271715636 1907573454 2331478666 3497217999 3815146908 4662957332 6994435998 10491653997 13988871996 20983307994 25328336417 41966615988 50656672834 75985009251 101313345668 151970018502 227955027753 278611700587 303940037004 455910055506 557223401174 835835101761 911820111012 1114446802348 1671670203522 2507505305283 3343340407044 5015010610566 10030021221132