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420331231100 = 2252118323319759
BaseRepresentation
bin1100001110111011011…
…00011001011101111100
31111011221121100220220002
412013131230121131330
523341314243343400
6521033021013432
742240125341154
oct6073554313574
91434847326802
10420331231100
11152297027230
12695680b4278
133083882a1c1
14164b646b764
15ae01791ed5
hex61ddb1977c

420331231100 has 144 divisors (see below), whose sum is σ = 1011400266240. Its totient is φ = 150350476800.

The previous prime is 420331231081. The next prime is 420331231121. The reversal of 420331231100 is 1132133024.

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 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, 21263021 + ... + 21282779.

It is an arithmetic number, because the mean of its divisors is an integer number (7023612960).

Almost surely, 2420331231100 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 420331231100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505700133120).

420331231100 is an abundant number, since it is smaller than the sum of its proper divisors (591069035140).

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

420331231100 is a wasteful number, since it uses less digits than its factorization.

420331231100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20100 (or 20093 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 420331231100 its reverse (1132133024), we get a palindrome (421463364124).

The spelling of 420331231100 in words is "four hundred twenty billion, three hundred thirty-one million, two hundred thirty-one thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 83 100 110 166 220 233 275 332 415 466 550 830 913 932 1100 1165 1660 1826 2075 2330 2563 3652 4150 4565 4660 5126 5825 8300 9130 10252 11650 12815 18260 19339 19759 22825 23300 25630 38678 39518 45650 51260 64075 77356 79036 91300 96695 98795 128150 193390 197590 212729 217349 256300 386780 395180 425458 434698 483475 493975 850916 869396 966950 987950 1063645 1086745 1639997 1933900 1975900 2127290 2173490 3279994 4254580 4346980 4603847 5318225 5433725 6559988 8199985 9207694 10636450 10867450 16399970 18039967 18415388 21272900 21734900 23019235 32799940 36079934 40999925 46038470 50642317 72159868 81999850 90199835 92076940 101284634 115096175 163999700 180399670 202569268 230192350 253211585 360799340 382119301 450999175 460384700 506423170 764238602 901998350 1012846340 1266057925 1528477204 1803996700 1910596505 2532115850 3821193010 4203312311 5064231700 7642386020 8406624622 9552982525 16813249244 19105965050 21016561555 38211930100 42033123110 84066246220 105082807775 210165615550 420331231100