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1012100211 = 332341127313
BaseRepresentation
bin111100010100110…
…110110001110011
32121112110000111000
4330110312301303
54033044201321
6244232453043
734036465323
oct7424666163
92545400430
101012100211
1147a338961
12242b4a183
131318b5985
14985bb283
155dcc1826
hex3c536c73

1012100211 has 64 divisors (see below), whose sum is σ = 1620541440. Its totient is φ = 622702080.

The previous prime is 1012100197. The next prime is 1012100213. The reversal of 1012100211 is 1120012101.

It is a happy number.

It is not a de Polignac number, because 1012100211 - 211 = 1012098163 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1012100193 and 1012100202.

It is not an unprimeable number, because it can be changed into a prime (1012100213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3233391 + ... + 3233703.

It is an arithmetic number, because the mean of its divisors is an integer number (25320960).

Almost surely, 21012100211 is an apocalyptic number.

1012100211 is a deficient number, since it is larger than the sum of its proper divisors (608441229).

1012100211 is a wasteful number, since it uses less digits than its factorization.

1012100211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 1012100211 is about 31813.5224550819. The cubic root of 1012100211 is about 1004.0172438084.

Adding to 1012100211 its reverse (1120012101), we get a palindrome (2132112312).

The spelling of 1012100211 in words is "one billion, twelve million, one hundred thousand, two hundred eleven".

Divisors: 1 3 9 23 27 41 69 123 127 207 313 369 381 621 939 943 1107 1143 2817 2829 2921 3429 5207 7199 8451 8487 8763 12833 15621 21597 25461 26289 38499 39751 46863 64791 78867 115497 119253 119761 140589 194373 295159 346491 357759 359283 885477 914273 1073277 1077849 1629791 2656431 2742819 3233547 4889373 7969293 8228457 14668119 24685371 37485193 44004357 112455579 337366737 1012100211