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210012221021031 = 3211132511163559001
BaseRepresentation
bin101111110000000101000111…
…110101010001101101100111
31000112120222020202212111121100
4233300011013311101231213
5210011320012040133111
62022354141001251143
762143611420644052
oct5760050765215547
91015528222774540
10210012221021031
1160a09756839350
121b679937a93ab3
1390250b52b62a0
1439c0907c65a99
151942d76d60756
hexbf0147d51b67

210012221021031 has 96 divisors (see below), whose sum is σ = 358112530024704. Its totient is φ = 116920440000000.

The previous prime is 210012221021023. The next prime is 210012221021033. The reversal of 210012221021031 is 130120122210012.

210012221021031 is a `hidden beast` number, since 210 + 0 + 1 + 2 + 2 + 210 + 210 + 31 = 666.

It is not a de Polignac number, because 210012221021031 - 23 = 210012221021023 is a prime.

It is a super-2 number, since 2×2100122210210312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 210012221020995 and 210012221021013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210012221021033) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 375412531 + ... + 375971531.

It is an arithmetic number, because the mean of its divisors is an integer number (3730338854424).

Almost surely, 2210012221021031 is an apocalyptic number.

210012221021031 is a deficient number, since it is larger than the sum of its proper divisors (148100309003673).

210012221021031 is a wasteful number, since it uses less digits than its factorization.

210012221021031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560445 (or 560442 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 210012221021031 its reverse (130120122210012), we get a palindrome (340132343231043).

The spelling of 210012221021031 in words is "two hundred ten trillion, twelve billion, two hundred twenty-one million, twenty-one thousand, thirty-one".

Divisors: 1 3 9 11 13 33 39 99 117 143 251 429 753 1163 1287 2259 2761 3263 3489 8283 9789 10467 12793 15119 24849 29367 35893 38379 45357 107679 115137 136071 166309 291913 323037 498927 559001 875739 1496781 1677003 2627217 3211043 3794869 5031009 6149011 7267013 9633129 11384607 18447033 21801039 28899387 34153821 41743559 55341099 65403117 79937143 125230677 140309251 239811429 375692031 420927753 650118163 719434287 1262783259 1543401761 1824020263 1950354489 4630205283 5472060789 5851063467 7151299793 8451536119 13890615849 16416182367 20064222893 21453899379 25354608357 60192668679 64361698137 76063825071 92966897309 163179658913 180578006037 278900691927 489538976739 836702075781 1468616930217 1794976248043 2121335565869 5384928744129 6364006697607 16154786232387 19092020092821 23334691224559 70004073673677 210012221021031