Search a number
-
+
201011020110102 = 233710112377247293
BaseRepresentation
bin101101101101000110000110…
…011100110001100100010110
3222100201110120121100002011110
4231231012012130301210112
5202321331032122010402
61551303104323115450
760224365315414446
oct5555060634614426
9870643517302143
10201011020110102
1159059327562054
121a665347b12b86
1388213476a3617
14378cdb1894126
151838b5801856c
hexb6d186731916

201011020110102 has 64 divisors (see below), whose sum is σ = 417312639497664. Its totient is φ = 64495100966400.

The previous prime is 201011020110049. The next prime is 201011020110149.

201011020110102 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 24112368 + ... + 31359660.

It is an arithmetic number, because the mean of its divisors is an integer number (6520509992151).

Almost surely, 2201011020110102 is an apocalyptic number.

201011020110102 is an abundant number, since it is smaller than the sum of its proper divisors (216301619387562).

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

201011020110102 is a wasteful number, since it uses less digits than its factorization.

201011020110102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7248673.

The product of its (nonzero) digits is 8, while the sum is 12.

The spelling of 201011020110102 in words is "two hundred one trillion, eleven billion, twenty million, one hundred ten thousand, one hundred two".

Divisors: 1 2 3 6 37 74 101 111 202 222 303 606 1237 2474 3711 3737 7422 7474 11211 22422 45769 91538 124937 137307 249874 274614 374811 749622 4622669 7247293 9245338 13868007 14494586 21741879 27736014 43483758 268149841 536299682 731976593 804449523 1463953186 1608899046 2195929779 4391859558 8964901441 17929802882 26894704323 27083133941 53789408646 54166267882 81249401823 162498803646 331701353317 663402706634 905455045541 995104059951 1810910091082 1990208119902 2716365136623 5432730273246 33501836685017 67003673370034 100505510055051 201011020110102