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2122030244961 = 3211440132
BaseRepresentation
bin11110111000010010110…
…110111110010001100001
321111212022221021120222100
4132320102312332101201
5234231404220314321
64302503000401013
7306211613321004
oct36702266762141
97455287246870
102122030244961
11748a47830000
122a331b776169
13125150255403
14749c76c553b
153a2eb31c326
hex1ee12dbe461

2122030244961 has 45 divisors (see below), whose sum is σ = 3372489733795. Its totient is φ = 1285758458160.

The previous prime is 2122030244941. The next prime is 2122030244981. The reversal of 2122030244961 is 1694420302212.

It is a happy number.

The square root of 2122030244961 is 1456719.

It is a perfect power (a square), and thus also a powerful number.

2122030244961 is a `hidden beast` number, since 2 + 1 + 2 + 203 + 0 + 2 + 449 + 6 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (2122030244941) and next prime (2122030244981).

It can be written as a sum of positive squares in only one way, i.e., 1779622700625 + 342407544336 = 1334025^2 + 585156^2 .

It is a de Polignac number, because none of the positive numbers 2k-2122030244961 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2122030244941) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 528786991 + ... + 528791003.

Almost surely, 22122030244961 is an apocalyptic number.

2122030244961 is the 1456719-th square number.

2122030244961 is the 728360-th centered octagonal number.

It is an amenable number.

2122030244961 is a deficient number, since it is larger than the sum of its proper divisors (1250459488834).

2122030244961 is an frugal number, since it uses more digits than its factorization.

2122030244961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8076 (or 4027 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Multiplying 2122030244961 by its sum of digits (36), we get a square (76393088818596 = 87403142).

The spelling of 2122030244961 in words is "two trillion, one hundred twenty-two billion, thirty million, two hundred forty-four thousand, nine hundred sixty-one".

Divisors: 1 3 9 11 33 99 121 363 1089 1331 3993 4013 11979 12039 14641 36117 43923 44143 131769 132429 397287 485573 1456719 4370157 5341303 16023909 16104169 48071727 48312507 58754333 144937521 176262999 177145859 528788997 531437577 1594312731 1948604449 5845813347 17537440041 21434648939 64303946817 192911840451 235781138329 707343414987 2122030244961