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231434034100 = 225216373919213
BaseRepresentation
bin1101011110001010001…
…0110001101110110100
3211010101000222001211121
43113202202301232310
512242434103042400
6254152550313324
722502102555203
oct3274242615664
9733330861747
10231434034100
118a17252a285
1238a2a958844
1318a9381ac59
14b2b6b7b23a
156047e1721a
hex35e28b1bb4

231434034100 has 72 divisors (see below), whose sum is σ = 506002995680. Its totient is φ = 91876394880.

The previous prime is 231434034079. The next prime is 231434034119. The reversal of 231434034100 is 1430434132.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12036094 + ... + 12055306.

Almost surely, 2231434034100 is an apocalyptic number.

231434034100 is a gapful number since it is divisible by the number (20) 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 231434034100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253001497840).

231434034100 is an abundant number, since it is smaller than the sum of its proper divisors (274568961580).

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

231434034100 is a wasteful number, since it uses less digits than its factorization.

231434034100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20129 (or 20122 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 231434034100 its reverse (1430434132), we get a palindrome (232864468232).

The spelling of 231434034100 in words is "two hundred thirty-one billion, four hundred thirty-four million, thirty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 163 326 652 739 815 1478 1630 2956 3260 3695 4075 7390 8150 14780 16300 18475 19213 36950 38426 73900 76852 96065 120457 192130 240914 384260 480325 481828 602285 960650 1204570 1921300 2409140 3011425 3131719 6022850 6263438 12045700 12526876 14198407 15658595 28396814 31317190 56793628 62634380 70992035 78292975 141984070 156585950 283968140 313171900 354960175 709920350 1419840700 2314340341 4628680682 9257361364 11571701705 23143403410 46286806820 57858508525 115717017050 231434034100