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421101054 = 2321122959113
BaseRepresentation
bin11001000110010…
…111110111111110
31002100101011001100
4121012113313332
51330300213204
6105441353530
713302204603
oct3106276776
91070334040
10421101054
111a6778500
12b90388a6
136931bc2a
143dcd86aa
1526e80a39
hex19197dfe

421101054 has 144 divisors (see below), whose sum is σ = 1064372400. Its totient is φ = 120046080.

The previous prime is 421101049. The next prime is 421101073. The reversal of 421101054 is 450101124.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3726502 + ... + 3726614.

It is an arithmetic number, because the mean of its divisors is an integer number (7391475).

Almost surely, 2421101054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 421101054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532186200).

421101054 is an abundant number, since it is smaller than the sum of its proper divisors (643271346).

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

421101054 is a wasteful number, since it uses less digits than its factorization.

421101054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 421101054 is about 20520.7469162309. The cubic root of 421101054 is about 749.5410845861.

Adding to 421101054 its reverse (450101124), we get a palindrome (871202178).

It can be divided in two parts, 421 and 101054, that added together give a triangular number (101475 = T450).

The spelling of 421101054 in words is "four hundred twenty-one million, one hundred one thousand, fifty-four".

Divisors: 1 2 3 6 9 11 18 22 29 33 58 59 66 87 99 113 118 121 174 177 198 226 242 261 319 339 354 363 522 531 638 649 678 726 957 1017 1062 1089 1243 1298 1711 1914 1947 2034 2178 2486 2871 3277 3422 3509 3729 3894 5133 5742 5841 6554 6667 7018 7139 7458 9831 10266 10527 11187 11682 13334 13673 14278 15399 18821 19662 20001 21054 21417 22374 27346 29493 30798 31581 36047 37642 40002 41019 42834 56463 58986 60003 63162 64251 72094 73337 82038 108141 112926 120006 123057 128502 146674 169389 193343 207031 216282 220011 246114 324423 338778 386686 396517 414062 440022 580029 621093 648846 660033 793034 806707 1160058 1189551 1242186 1320066 1613414 1740087 1863279 2126773 2379102 2420121 3480174 3568653 3726558 4253546 4840242 6380319 7137306 7260363 12760638 14520726 19140957 23394503 38281914 46789006 70183509 140367018 210550527 421101054