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420242302100 = 225219220275743
BaseRepresentation
bin1100001110110000110…
…01001010010010010100
31111011201102000212020102
412013120121022102110
523341124012131400
6521020122553232
742234665426015
oct6073031122224
91434642025212
10420242302100
11152250907595
1269542368818
13308232918aa
14164a871d00c
15ade8a779d5
hex61d864a494

420242302100 has 108 divisors (see below), whose sum is σ = 963090483264. Its totient is φ = 159143434560.

The previous prime is 420242302093. The next prime is 420242302111. The reversal of 420242302100 is 1203242024.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 73171829 + ... + 73177571.

Almost surely, 2420242302100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420242302100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481545241632).

420242302100 is an abundant number, since it is smaller than the sum of its proper divisors (542848181164).

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

420242302100 is a wasteful number, since it uses less digits than its factorization.

420242302100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7822 (or 7796 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 420242302100 its reverse (1203242024), we get a palindrome (421445544124).

The spelling of 420242302100 in words is "four hundred twenty billion, two hundred forty-two million, three hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 361 380 475 722 950 1444 1805 1900 2027 3610 4054 5743 7220 8108 9025 10135 11486 18050 20270 22972 28715 36100 38513 40540 50675 57430 77026 101350 109117 114860 143575 154052 192565 202700 218234 287150 385130 436468 545585 574300 731747 770260 962825 1091170 1463494 1925650 2073223 2182340 2727925 2926988 3658735 3851300 4146446 5455850 7317470 8292892 10366115 10911700 11641061 14634940 18293675 20732230 23282122 36587350 41464460 46564244 51830575 58205305 73174700 103661150 116410610 207322300 221180159 232821220 291026525 442360318 582053050 884720636 1105900795 1164106100 2211801590 4202423021 4423603180 5529503975 8404846042 11059007950 16809692084 21012115105 22118015900 42024230210 84048460420 105060575525 210121151050 420242302100