Search a number
-
+
202112110100201 = 71771971571570781
BaseRepresentation
bin101101111101000111100100…
…100001101111111011101001
3222111121201200110102002012212
4231331013210201233323221
5202442401100141201301
61553505004355014505
760400055334044630
oct5575074441577351
9874551613362185
10202112110100201
11594432a0110804
121a80282089a435
1388a1123236342
1437ca3c7a12517
1518575ee5244bb
hexb7d1e486fee9

202112110100201 has 64 divisors (see below), whose sum is σ = 252170376643584. Its totient is φ = 158081288601600.

The previous prime is 202112110100149. The next prime is 202112110100203. The reversal of 202112110100201 is 102001011211202.

It is not a de Polignac number, because 202112110100201 - 210 = 202112110099177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (202112110100203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 127884431 + ... + 129455211.

It is an arithmetic number, because the mean of its divisors is an integer number (3940162135056).

Almost surely, 2202112110100201 is an apocalyptic number.

It is an amenable number.

202112110100201 is a deficient number, since it is larger than the sum of its proper divisors (50058266543383).

202112110100201 is a wasteful number, since it uses less digits than its factorization.

202112110100201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1571130.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 202112110100201 its reverse (102001011211202), we get a palindrome (304113121311403).

The spelling of 202112110100201 in words is "two hundred two trillion, one hundred twelve billion, one hundred ten million, one hundred thousand, two hundred one".

Divisors: 1 7 17 71 97 119 157 497 679 1099 1207 1649 2669 6887 8449 11147 11543 15229 18683 48209 78029 106603 117079 189499 258893 819553 1081259 1326493 1570781 1812251 7568813 10995467 18381403 26703277 111525451 128669821 152365757 186922939 246612617 780678157 1066560299 1726288319 1895932667 2590217869 4192414489 10817968747 13271528669 17509495807 18131525083 23921423849 29346901423 75725781229 122566470649 167449966943 183905468699 297661428719 406664205433 1287338280893 1698421093279 2083630001033 2846649438031 11888947652953 28873158585743 202112110100201