Search a number
-
+
101202212101211 = 135979109152310061
BaseRepresentation
bin10111000000101011111001…
…111001110001110001011011
3111021022211121011111000122122
4113000223321321301301123
5101231044112244214321
6555123353204211455
730213422105325044
oct2700537171616133
9437284534430578
10101202212101211
112a278687438691
12b425800099b8b
134461434b0b380
141adc2db0478cb
15ba777d7b78ab
hex5c0af9e71c5b

101202212101211 has 64 divisors (see below), whose sum is σ = 113352535296000. Its totient is φ = 89771861537280.

The previous prime is 101202212101129. The next prime is 101202212101223. The reversal of 101202212101211 is 112101212202101.

It is not a de Polignac number, because 101202212101211 - 222 = 101202207906907 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101202212101211.

It is not an unprimeable number, because it can be changed into a prime (101202212101261) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10058857121 + ... + 10058867181.

It is an arithmetic number, because the mean of its divisors is an integer number (1771133364000).

Almost surely, 2101202212101211 is an apocalyptic number.

101202212101211 is a deficient number, since it is larger than the sum of its proper divisors (12150323194789).

101202212101211 is a wasteful number, since it uses less digits than its factorization.

101202212101211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11844.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 101202212101211 its reverse (112101212202101), we get a palindrome (213303424303312).

The spelling of 101202212101211 in words is "one hundred one trillion, two hundred two billion, two hundred twelve million, one hundred one thousand, two hundred eleven".

Divisors: 1 13 59 79 109 767 1027 1417 1523 4661 6431 8611 10061 19799 60593 83603 89857 111943 120317 130793 166007 508049 593599 794819 1096649 1168141 1564121 2158091 6604637 7098703 7716787 9794413 10332647 13114553 14256437 15322903 46894321 64702291 86635271 92283139 127327369 170489189 199197739 609626173 773758627 841129783 904051277 1126258523 1210509337 1670196427 5111480989 10058862151 11752666601 15736621381 21712553551 66449252857 71420050883 98541589193 131945517733 928460661479 1281040659509 1715291730529 7784785546247 101202212101211