Search a number
-
+
210112110001021 = 17294125740447081
BaseRepresentation
bin101111110001100010001001…
…101011011111101101111101
31000112221112002012121110000211
4233301202021223133231331
5210014434100130013041
62022512100520552421
762154045646162054
oct5761421153375575
91015845065543024
10210112110001021
1160a48055536478
121b695174622711
139031643ac42c7
1439c56a226739b
15194577146a481
hexbf1889adfb7d

210112110001021 has 32 divisors (see below), whose sum is σ = 236673673498080. Its totient is φ = 185551788441600.

The previous prime is 210112110001007. The next prime is 210112110001033. The reversal of 210112110001021 is 120100011211012.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 159110040996 + 209952999960025 = 398886^2 + 14489755^2 .

It is not a de Polignac number, because 210112110001021 - 221 = 210112107903869 is a prime.

It is a super-2 number, since 2×2101121100010212 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 210112110000992 and 210112110001010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210112110001091) 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, 15028800 + ... + 25418281.

It is an arithmetic number, because the mean of its divisors is an integer number (7396052296815).

Almost surely, 2210112110001021 is an apocalyptic number.

It is an amenable number.

210112110001021 is a deficient number, since it is larger than the sum of its proper divisors (26561563497059).

210112110001021 is a wasteful number, since it uses less digits than its factorization.

210112110001021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40447425.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 210112110001021 its reverse (120100011211012), we get a palindrome (330212121212033).

The spelling of 210112110001021 in words is "two hundred ten trillion, one hundred twelve billion, one hundred ten million, one thousand, twenty-one".

Divisors: 1 17 29 41 257 493 697 1189 4369 7453 10537 20213 126701 179129 305573 5194741 40447081 687600377 1172965349 1658330321 10394899817 19940410933 28191615457 48091579309 176713296889 301452094693 426190892497 817556848253 5124685609781 7245245172449 12359535882413 210112110001021