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100400421411435 = 35192138731336493
BaseRepresentation
bin10110110101000001001011…
…011101000001101001101011
3111011111012000222211211002110
4112311001023131001221223
5101124430030340131220
6553311152235133403
730101456016033105
oct2665011335015153
9434435028754073
10100400421411435
1129a996414a9192
12b316335ba4263
134403946b81562
141ab1598d50575
15b919a31aabe0
hex5b504b741a6b

100400421411435 has 48 divisors (see below), whose sum is σ = 169552782360864. Its totient is φ = 50724939377664.

The previous prime is 100400421411427. The next prime is 100400421411461. The reversal of 100400421411435 is 534114124004001.

It is not a de Polignac number, because 100400421411435 - 23 = 100400421411427 is a prime.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 74454049 + ... + 75790541.

It is an arithmetic number, because the mean of its divisors is an integer number (3532349632518).

Almost surely, 2100400421411435 is an apocalyptic number.

100400421411435 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

100400421411435 is a deficient number, since it is larger than the sum of its proper divisors (69152360949429).

100400421411435 is a wasteful number, since it uses less digits than its factorization.

100400421411435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1350412 (or 1350393 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 100400421411435 its reverse (534114124004001), we get a palindrome (634514545415436).

The spelling of 100400421411435 in words is "one hundred trillion, four hundred billion, four hundred twenty-one million, four hundred eleven thousand, four hundred thirty-five".

Divisors: 1 3 5 15 19 57 95 285 361 1083 1805 5415 13873 41619 69365 208095 263587 790761 1317935 1336493 3953805 4009479 5008153 6682465 15024459 20047395 25040765 25393367 75122295 76180101 126966835 380900505 482473973 1447421919 2412369865 7237109595 18541167389 55623502167 92705836945 278117510835 352282180391 1056846541173 1761410901955 5284232705865 6693361427429 20080084282287 33466807137145 100400421411435