Search a number
-
+
100298385 = 335111729137
BaseRepresentation
bin1011111101001…
…10111010010001
320222201200112000
411332212322101
5201134022020
613541424213
72325344055
oct576467221
9228650460
10100298385
1151685730
122970b069
1317a19575
14d46bc65
158c13090
hex5fa6e91

100298385 has 128 divisors (see below), whose sum is σ = 214617600. Its totient is φ = 43868160.

The previous prime is 100298383. The next prime is 100298411. The reversal of 100298385 is 583892001.

It is not a de Polignac number, because 100298385 - 21 = 100298383 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100298381) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 732037 + ... + 732173.

It is an arithmetic number, because the mean of its divisors is an integer number (1676700).

Almost surely, 2100298385 is an apocalyptic number.

100298385 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100298385 is an abundant number, since it is smaller than the sum of its proper divisors (114319215).

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

100298385 is a wasteful number, since it uses less digits than its factorization.

100298385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 100298385 is about 10014.9081373720. The cubic root of 100298385 is about 464.6200851074.

The spelling of 100298385 in words is "one hundred million, two hundred ninety-eight thousand, three hundred eighty-five".

Divisors: 1 3 5 9 11 15 17 27 29 33 45 51 55 85 87 99 135 137 145 153 165 187 255 261 297 319 411 435 459 493 495 561 685 765 783 935 957 1233 1305 1479 1485 1507 1595 1683 2055 2295 2329 2465 2805 2871 3699 3915 3973 4437 4521 4785 5049 5423 6165 6987 7395 7535 8415 8613 11645 11919 13311 13563 14355 16269 18495 19865 20961 22185 22605 25245 25619 27115 34935 35757 40689 43065 43703 48807 59595 62883 66555 67541 67815 76857 81345 104805 107271 128095 131109 146421 178785 202623 203445 218515 230571 244035 314415 337705 384285 393327 536355 607869 655545 691713 732105 742951 1013115 1152855 1179981 1823607 1966635 2228853 3039345 3458565 3714755 5899905 6686559 9118035 11144265 20059677 33432795 100298385