Search a number
-
+
100101021000046 = 21112765735642749
BaseRepresentation
bin10110110000101010010101…
…110011000110000101101110
3111010102120020021011001021221
4112300222111303012011232
5101110023342334000141
6552521435121213554
730041026421364253
oct2660522563060556
9433376207131257
10100101021000046
11299936717a9770
12b2882b94912ba
1343b1641336211
141aa0cb56c942a
15b88ccd487bd1
hex5b0a95cc616e

100101021000046 has 16 divisors (see below), whose sum is σ = 163802958462000. Its totient is φ = 45500106386880.

The previous prime is 100101020999989. The next prime is 100101021000047. The reversal of 100101021000046 is 640000120101001.

It is a junction number, because it is equal to n+sod(n) for n = 100101020999993 and 100101021000029.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101021000047) 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 7 ways as a sum of consecutive naturals, for example, 15012921 + ... + 20629828.

It is an arithmetic number, because the mean of its divisors is an integer number (10237684903875).

Almost surely, 2100101021000046 is an apocalyptic number.

100101021000046 is a deficient number, since it is larger than the sum of its proper divisors (63701937461954).

100101021000046 is a wasteful number, since it uses less digits than its factorization.

100101021000046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35770419.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 100101021000046 its reverse (640000120101001), we get a palindrome (740101141101047).

The spelling of 100101021000046 in words is "one hundred trillion, one hundred one billion, twenty-one million, forty-six", and thus it is an aban number.

Divisors: 1 2 11 22 127657 255314 1404227 2808454 35642749 71285498 392070239 784140478 4550046409093 9100092818186 50050510500023 100101021000046