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2120970488877 = 33317127092
BaseRepresentation
bin11110110111010011101…
…100010100110000101101
321111202121002011101221000
4132313103230110300231
5234222221421121002
64302205502230513
7306143424460062
oct36672354246055
97452532141830
102120970488877
11748553602629
122a3084885439
131250118252c6
1474926a60c69
153a28828561c
hex1edd3b14c2d

2120970488877 has 72 divisors (see below), whose sum is σ = 3294512874240. Its totient is φ = 1347192453600.

The previous prime is 2120970488869. The next prime is 2120970488953. The reversal of 2120970488877 is 7788840790212.

2120970488877 is a `hidden beast` number, since 2 + 1 + 2 + 0 + 9 + 70 + 488 + 87 + 7 = 666.

It is not a de Polignac number, because 2120970488877 - 23 = 2120970488869 is a prime.

It is a super-2 number, since 2×21209704888772 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120970488837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2991495399 + ... + 2991496107.

Almost surely, 22120970488877 is an apocalyptic number.

2120970488877 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

2120970488877 is a deficient number, since it is larger than the sum of its proper divisors (1173542385363).

2120970488877 is an frugal number, since it uses more digits than its factorization.

2120970488877 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1600 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 25288704, while the sum is 63.

The spelling of 2120970488877 in words is "two trillion, one hundred twenty billion, nine hundred seventy million, four hundred eighty-eight thousand, eight hundred seventy-seven".

Divisors: 1 3 9 27 31 71 93 213 279 639 709 837 1917 2127 2201 5041 6381 6603 15123 19143 19809 21979 45369 50339 59427 65937 136107 151017 156271 197811 453051 468813 502681 593433 1359153 1406439 1508043 1560509 3574069 4219317 4524129 4681527 10722207 13572387 14044581 15583111 32166621 35690351 42133743 46749333 96499863 107071053 110796139 140247999 321213159 332388417 420743997 963639477 997165251 1106400881 2534014921 2991495753 3319202643 7602044763 9957607929 22806134289 29872823787 68418402867 78554462551 235663387653 706990162959 2120970488877