Search a number
-
+
42201245100 = 2235273410119
BaseRepresentation
bin100111010011011000…
…111110010110101100
311000221002002101002210
4213103120332112230
51142412004320400
631215331050420
73022533444000
oct472330762654
9130832071083
1042201245100
1116996559073
128219140a10
133c9712b861
142084a90700
15116ed9c950
hex9d363e5ac

42201245100 has 144 divisors (see below), whose sum is σ = 142393664000. Its totient is φ = 9645975360.

The previous prime is 42201245039. The next prime is 42201245113. The reversal of 42201245100 is 154210224.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102160 + ... + 307959.

Almost surely, 242201245100 is an apocalyptic number.

It is an amenable number.

42201245100 is an abundant number, since it is smaller than the sum of its proper divisors (100192418900).

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

42201245100 is a wasteful number, since it uses less digits than its factorization.

42201245100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410157 (or 410136 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

Adding to 42201245100 its reverse (154210224), we get a palindrome (42355455324).

It can be divided in two parts, 4220124 and 5100, that added together give a palindrome (4225224).

The spelling of 42201245100 in words is "forty-two billion, two hundred one million, two hundred forty-five thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 49 50 60 70 75 84 98 100 105 140 147 150 175 196 210 245 294 300 343 350 420 490 525 588 686 700 735 980 1029 1050 1225 1372 1470 1715 2058 2100 2450 2940 3430 3675 4116 4900 5145 6860 7350 8575 10290 14700 17150 20580 25725 34300 51450 102900 410119 820238 1230357 1640476 2050595 2460714 2870833 4101190 4921428 5741666 6151785 8202380 8612499 10252975 11483332 12303570 14354165 17224998 20095831 20505950 24607140 28708330 30758925 34449996 40191662 41011900 43062495 57416660 60287493 61517850 71770825 80383324 86124990 100479155 120574986 123035700 140670817 143541650 172249980 200958310 215312475 241149972 281341634 287083300 301437465 401916620 422012451 430624950 502395775 562683268 602874930 703354085 844024902 861249900 1004791550 1205749860 1406708170 1507187325 1688049804 2009583100 2110062255 2813416340 3014374650 3516770425 4220124510 6028749300 7033540850 8440249020 10550311275 14067081700 21100622550 42201245100