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1011000211002 = 232431919717043
BaseRepresentation
bin11101011011001000100…
…11101111011000111010
310120122120100021001011100
432231210103233120322
5113031012023223002
62052240323112230
7133020346001025
oct16554423573072
93518510231140
101011000211002
1135a843298271
12143b31b12676
137444c268232
1436d0b3701bc
151b47234811c
hexeb644ef63a

1011000211002 has 96 divisors (see below), whose sum is σ = 2255818346496. Its totient is φ = 327055831200.

The previous prime is 1011000210949. The next prime is 1011000211003. The reversal of 1011000211002 is 2001120001101.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (1011000211003) 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 47 ways as a sum of consecutive naturals, for example, 143543293 + ... + 143550335.

It is an arithmetic number, because the mean of its divisors is an integer number (23498107776).

Almost surely, 21011000211002 is an apocalyptic number.

1011000211002 is an abundant number, since it is smaller than the sum of its proper divisors (1244818135494).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1011000211002 is a wasteful number, since it uses less digits than its factorization.

1011000211002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8256 (or 8253 counting only the distinct ones).

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

Adding to 1011000211002 its reverse (2001120001101), we get a palindrome (3012120212103).

The spelling of 1011000211002 in words is "one trillion, eleven billion, two hundred eleven thousand, two".

Divisors: 1 2 3 6 9 18 43 86 129 191 258 382 387 573 774 971 1146 1719 1942 2913 3438 5826 7043 8213 8739 14086 16426 17478 21129 24639 41753 42258 49278 63387 73917 83506 125259 126774 147834 185461 250518 302849 370922 375777 556383 605698 751554 908547 1112766 1345213 1669149 1817094 2690426 2725641 3338298 4035639 5451282 6838753 7974823 8071278 12106917 13677506 15949646 20516259 23924469 24213834 41032518 47848938 57844159 61548777 71773407 115688318 123097554 143546814 173532477 294066379 347064954 520597431 588132758 882199137 1041194862 1306201823 1764398274 2612403646 2646597411 3918605469 5293194822 7837210938 11755816407 23511632814 56166678389 112333356778 168500035167 337000070334 505500105501 1011000211002