Search a number
-
+
100220132121012 = 223228139312520247
BaseRepresentation
bin10110110010011001010001…
…010111111101100110110100
3111010211221200022201220222200
4112302121101113331212310
5101114001312310333022
6553052254302024500
730052444205246511
oct2662312127754664
9433757608656880
10100220132121012
1129a2a134937912
12b2a73bb578130
1343bc94431ba57
141aa697496c308
15b8be503abbac
hex5b26515fd9b4

100220132121012 has 72 divisors (see below), whose sum is σ = 254300543620032. Its totient is φ = 33279344380800.

The previous prime is 100220132121001. The next prime is 100220132121049. The reversal of 100220132121012 is 210121231022001.

100220132121012 is a `hidden beast` number, since 100 + 2 + 20 + 1 + 321 + 210 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38505873 + ... + 41026119.

Almost surely, 2100220132121012 is an apocalyptic number.

100220132121012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100220132121012 is an abundant number, since it is smaller than the sum of its proper divisors (154080411499020).

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

100220132121012 is a wasteful number, since it uses less digits than its factorization.

100220132121012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2524469 (or 2524464 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 100220132121012 its reverse (210121231022001), we get a palindrome (310341363143013).

The spelling of 100220132121012 in words is "one hundred trillion, two hundred twenty billion, one hundred thirty-two million, one hundred twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 281 562 843 1124 1686 2529 3372 3931 5058 7862 10116 11793 15724 23586 35379 47172 70758 141516 1104611 2209222 2520247 3313833 4418444 5040494 6627666 7560741 9941499 10080988 13255332 15121482 19882998 22682223 30242964 39765996 45364446 90728892 708189407 1416378814 2124568221 2832757628 4249136442 6373704663 8498272884 9907090957 12747409326 19814181914 25494818652 29721272871 39628363828 59442545742 89163818613 118885091484 178327637226 356655274452 2783892558917 5567785117834 8351677676751 11135570235668 16703355353502 25055033030253 33406710707004 50110066060506 100220132121012