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100420302411 = 321113534873023
BaseRepresentation
bin101110110000110000…
…1000011011001001011
3100121012110111220202200
41131201201003121023
53121130044134121
6114044335331243
710153336325652
oct1354141033113
9317173456680
10100420302411
1139651708570
1217566680b23
13961490bcb0
144c08bcc199
15292b0ada26
hex176184364b

100420302411 has 96 divisors (see below), whose sum is σ = 174039570432. Its totient is φ = 54987828480.

The previous prime is 100420302407. The next prime is 100420302427. The reversal of 100420302411 is 114203024001.

100420302411 is a `hidden beast` number, since 1 + 0 + 0 + 420 + 3 + 0 + 241 + 1 = 666.

It is not a de Polignac number, because 100420302411 - 22 = 100420302407 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100420302811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33217246 + ... + 33220268.

It is an arithmetic number, because the mean of its divisors is an integer number (1812912192).

Almost surely, 2100420302411 is an apocalyptic number.

100420302411 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100420302411 is a deficient number, since it is larger than the sum of its proper divisors (73619268021).

100420302411 is a wasteful number, since it uses less digits than its factorization.

100420302411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3593 (or 3590 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 100420302411 its reverse (114203024001), we get a palindrome (214623326412).

The spelling of 100420302411 in words is "one hundred billion, four hundred twenty million, three hundred two thousand, four hundred eleven".

Divisors: 1 3 9 11 13 33 39 53 99 117 143 159 429 477 487 583 689 1287 1461 1749 2067 3023 4383 5247 5357 6201 6331 7579 9069 16071 18993 22737 25811 27207 33253 39299 48213 56979 68211 69641 77433 99759 117897 160219 208923 232299 283921 299277 335543 353691 432289 480657 626769 851763 1006629 1296867 1441971 1472201 1762409 2082847 2555289 3019887 3690973 3890601 4416603 5287227 6248541 11072919 13249809 15861681 16194211 18745623 19138613 22911317 33218757 48582633 57415839 68733951 78026653 145747899 172247517 206201853 210524743 234079959 631574229 702239877 858293183 1014346489 1894722687 2574879549 3043039467 7724638647 9129118401 11157811379 33473434137 100420302411