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211210140004 = 222979223710303
BaseRepresentation
bin1100010010110100011…
…0101111100101100100
3202012011121010210121221
43010231012233211210
511430024243440004
6241010102150124
721154661365633
oct3045506574544
9665147123557
10211210140004
1181634688316
1234b25a22344
1316bbc941306
14a318c5351a
1557626c2354
hex312d1af964

211210140004 has 48 divisors (see below), whose sum is σ = 387413913600. Its totient is φ = 100618068096.

The previous prime is 211210139947. The next prime is 211210140019. The reversal of 211210140004 is 400041012112.

It is a happy number.

211210140004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2112101400042 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 211210140004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20494717 + ... + 20505019.

It is an arithmetic number, because the mean of its divisors is an integer number (8071123200).

Almost surely, 2211210140004 is an apocalyptic number.

It is an amenable number.

211210140004 is a deficient number, since it is larger than the sum of its proper divisors (176203773596).

211210140004 is a wasteful number, since it uses less digits than its factorization.

211210140004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12652 (or 12650 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 211210140004 its reverse (400041012112), we get a palindrome (611251152116).

The spelling of 211210140004 in words is "two hundred eleven billion, two hundred ten million, one hundred forty thousand, four".

Divisors: 1 2 4 29 58 79 116 158 316 2237 2291 4474 4582 8948 9164 10303 20606 41212 64873 129746 176723 259492 298787 353446 597574 706892 813937 1195148 1627874 3255748 5124967 10249934 20499868 23047811 23604173 46095622 47208346 92191244 94416692 668386519 1336773038 1820777069 2673546076 3641554138 7283108276 52802535001 105605070002 211210140004