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42100234000 = 24531110118947
BaseRepresentation
bin100111001101010111…
…101001011100010000
311000200001000110220221
4213031113221130100
51142210124442000
631201322042424
73020166040666
oct471527513420
9130601013827
1042100234000
1116944536a20
1281ab349414
133c7c222a86
1420754b8c36
15116609861a
hex9cd5e9710

42100234000 has 160 divisors (see below), whose sum is σ = 112158214272. Its totient is φ = 15156800000.

The previous prime is 42100233997. The next prime is 42100234079. The reversal of 42100234000 is 43200124.

42100234000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2212527 + ... + 2231473.

Almost surely, 242100234000 is an apocalyptic number.

42100234000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42100234000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56079107136).

42100234000 is an abundant number, since it is smaller than the sum of its proper divisors (70057980272).

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

42100234000 is a wasteful number, since it uses less digits than its factorization.

42100234000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19082 (or 19066 counting only the distinct ones).

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

Adding to 42100234000 its reverse (43200124), we get a palindrome (42143434124).

The spelling of 42100234000 in words is "forty-two billion, one hundred million, two hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 101 110 125 176 200 202 220 250 275 400 404 440 500 505 550 808 880 1000 1010 1100 1111 1375 1616 2000 2020 2200 2222 2525 2750 4040 4400 4444 5050 5500 5555 8080 8888 10100 11000 11110 12625 17776 18947 20200 22000 22220 25250 27775 37894 40400 44440 50500 55550 75788 88880 94735 101000 111100 138875 151576 189470 202000 208417 222200 277750 303152 378940 416834 444400 473675 555500 757880 833668 947350 1042085 1111000 1515760 1667336 1894700 1913647 2084170 2222000 2368375 3334672 3789400 3827294 4168340 4736750 5210425 7578800 7654588 8336680 9473500 9568235 10420850 15309176 16673360 18947000 19136470 20841700 21050117 26052125 30618352 37894000 38272940 41683400 42100234 47841175 52104250 76545880 83366800 84200468 95682350 104208500 105250585 153091760 168400936 191364700 208417000 210501170 239205875 336801872 382729400 416834000 421002340 478411750 526252925 765458800 842004680 956823500 1052505850 1684009360 1913647000 2105011700 2631264625 3827294000 4210023400 5262529250 8420046800 10525058500 21050117000 42100234000