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21134442402 = 235372774243
BaseRepresentation
bin10011101011101101…
…011111111110100010
32000112220011220200000
4103223231133332202
5321240404124102
613413052240430
71345505540103
oct235355377642
960486156600
1021134442402
118a65929427
124119a70116
131cba727628
141046c2c3aa
1583a65701c
hex4ebb5ffa2

21134442402 has 96 divisors (see below), whose sum is σ = 48958308672. Its totient is φ = 6828058944.

The previous prime is 21134442401. The next prime is 21134442457. The reversal of 21134442402 is 20424443112.

21134442402 is a `hidden beast` number, since 211 + 3 + 4 + 4 + 42 + 402 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (21134442401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4978893 + ... + 4983135.

It is an arithmetic number, because the mean of its divisors is an integer number (509982382).

Almost surely, 221134442402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21134442402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24479154336).

21134442402 is an abundant number, since it is smaller than the sum of its proper divisors (27823866270).

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

21134442402 is a wasteful number, since it uses less digits than its factorization.

21134442402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4574 (or 4562 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 21134442402 its reverse (20424443112), we get a palindrome (41558885514).

The spelling of 21134442402 in words is "twenty-one billion, one hundred thirty-four million, four hundred forty-two thousand, four hundred two".

Divisors: 1 2 3 6 9 18 27 37 54 74 81 111 162 222 243 277 333 486 554 666 831 999 1662 1998 2493 2997 4243 4986 5994 7479 8486 8991 10249 12729 14958 17982 20498 22437 25458 30747 38187 44874 61494 67311 76374 92241 114561 134622 156991 184482 229122 276723 313982 343683 470973 553446 687366 830169 941946 1031049 1175311 1412919 1660338 2062098 2350622 2490507 2825838 3525933 4238757 4981014 7051866 8477514 10577799 12716271 21155598 25432542 31733397 38148813 43486507 63466794 76297626 86973014 95200191 130459521 190400382 260919042 285600573 391378563 571201146 782757126 1174135689 2348271378 3522407067 7044814134 10567221201 21134442402