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20134200132 = 2234416612293
BaseRepresentation
bin10010110000000101…
…111000001101000100
31220222012001100020000
4102300011320031010
5312213323401012
613125521441300
71311641606634
oct226005701504
956865040200
1020134200132
1185a225a622
123a9aaa0230
131b8b4340b7
14d9005a6c4
157cc928ddc
hex4b0178344

20134200132 has 120 divisors (see below), whose sum is σ = 54023672472. Its totient is φ = 6534950400.

The previous prime is 20134200103. The next prime is 20134200167. The reversal of 20134200132 is 23100243102.

It can be written as a sum of positive squares in 4 ways, for example, as 507871296 + 19626328836 = 22536^2 + 140094^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8779578 + ... + 8781870.

Almost surely, 220134200132 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 20134200132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27011836236).

20134200132 is an abundant number, since it is smaller than the sum of its proper divisors (33889472340).

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

20134200132 is a wasteful number, since it uses less digits than its factorization.

20134200132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3011 (or 3000 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 20134200132 its reverse (23100243102), we get a palindrome (43234443234).

The spelling of 20134200132 in words is "twenty billion, one hundred thirty-four million, two hundred thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 81 82 108 123 162 164 246 324 369 492 661 738 1107 1322 1476 1983 2214 2293 2644 3321 3966 4428 4586 5949 6642 6879 7932 9172 11898 13284 13758 17847 20637 23796 27101 27516 35694 41274 53541 54202 61911 71388 81303 82548 94013 107082 108404 123822 162606 185733 188026 214164 243909 247644 282039 325212 371466 376052 487818 564078 731727 742932 846117 975636 1128156 1463454 1515673 1692234 2195181 2538351 2926908 3031346 3384468 4390362 4547019 5076702 6062692 7615053 8780724 9094038 10153404 13641057 15230106 18188076 27282114 30460212 40923171 54564228 62142593 81846342 122769513 124285186 163692684 186427779 245539026 248570372 372855558 491078052 559283337 745711116 1118566674 1677850011 2237133348 3355700022 5033550033 6711400044 10067100066 20134200132