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4203420100 = 22521171107503
BaseRepresentation
bin1111101010001011…
…0001100111000100
3101211221110212100221
43322202301213010
532102033420400
61533033514124
7206110324045
oct37242614704
911757425327
104203420100
1118677a2810
12993872944
1351cb05639
142bc3868cc
15199057c1a
hexfa8b19c4

4203420100 has 144 divisors (see below), whose sum is σ = 10205346816. Its totient is φ = 1489936000.

The previous prime is 4203420097. The next prime is 4203420101. The reversal of 4203420100 is 10243024.

4203420100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (4203420101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8356449 + ... + 8356951.

It is an arithmetic number, because the mean of its divisors is an integer number (70870464).

Almost surely, 24203420100 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 4203420100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5102673408).

4203420100 is an abundant number, since it is smaller than the sum of its proper divisors (6001926716).

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

4203420100 is a wasteful number, since it uses less digits than its factorization.

4203420100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 4203420100 is about 64833.7882589009. The cubic root of 4203420100 is about 1613.8664706419.

Adding to 4203420100 its reverse (10243024), we get a palindrome (4213663124).

The spelling of 4203420100 in words is "four billion, two hundred three million, four hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 71 100 107 110 142 214 220 275 284 355 428 503 535 550 710 781 1006 1070 1100 1177 1420 1562 1775 2012 2140 2354 2515 2675 3124 3550 3905 4708 5030 5350 5533 5885 7100 7597 7810 10060 10700 11066 11770 12575 15194 15620 19525 22132 23540 25150 27665 29425 30388 35713 37985 39050 50300 53821 55330 58850 71426 75970 78100 83567 107642 110660 117700 138325 142852 151940 167134 178565 189925 215284 269105 276650 334268 357130 379850 392843 417835 538210 553300 592031 714260 759700 785686 835670 892825 1076420 1184062 1345525 1571372 1671340 1785650 1964215 2089175 2368124 2691050 2960155 3571300 3821291 3928430 4178350 5382100 5920310 7642582 7856860 8356700 9821075 11840620 14800775 15285164 19106455 19642150 29601550 38212910 39284300 42034201 59203100 76425820 84068402 95532275 168136804 191064550 210171005 382129100 420342010 840684020 1050855025 2101710050 4203420100