Search a number
-
+
201011110110972 = 22337535016749279
BaseRepresentation
bin101101101101000110001011…
…110100000110011011111100
3222100201110210212200121011000
4231231012023310012123330
5202321331223142022342
61551303121300130300
760224400460412610
oct5555061364063374
9870643725617130
10201011110110972
1159059373344037
121a665372096990
138821360225a85
14378cdbd801340
151838b60d9544c
hexb6d18bd066fc

201011110110972 has 96 divisors (see below), whose sum is σ = 606825992908800. Its totient is φ = 56348127890496.

The previous prime is 201011110110971. The next prime is 201011110110973. The reversal of 201011110110972 is 279011011110102.

It is an interprime number because it is at equal distance from previous prime (201011110110971) and next prime (201011110110973).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201011110110971) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2508334572 + ... + 2508414707.

It is an arithmetic number, because the mean of its divisors is an integer number (6321104092800).

Almost surely, 2201011110110972 is an apocalyptic number.

It is an amenable number.

201011110110972 is an abundant number, since it is smaller than the sum of its proper divisors (405814882797828).

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

201011110110972 is a wasteful number, since it uses less digits than its factorization.

201011110110972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5016749352 (or 5016749344 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 27.

The spelling of 201011110110972 in words is "two hundred one trillion, eleven billion, one hundred ten million, one hundred ten thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 53 54 63 84 106 108 126 159 189 212 252 318 371 378 477 636 742 756 954 1113 1431 1484 1908 2226 2862 3339 4452 5724 6678 10017 13356 20034 40068 5016749279 10033498558 15050247837 20066997116 30100495674 35117244953 45150743511 60200991348 70234489906 90301487022 105351734859 135452230533 140468979812 180602974044 210703469718 265887711787 270904461066 316055204577 421406939436 531775423574 541808922132 632110409154 797663135361 948165613731 1063550847148 1264220818308 1595326270722 1861213982509 1896331227462 2392989406083 3190652541444 3722427965018 3792662454924 4785978812166 5583641947527 7178968218249 7444855930036 9571957624332 11167283895054 14357936436498 16750925842581 22334567790108 28715872872996 33501851685162 50252777527743 67003703370324 100505555055486 201011110110972