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21020220104 = 231329431091487
BaseRepresentation
bin10011100100111001…
…110001101011001000
32000020221020211010112
4103210321301223020
5321022134020404
613353452133452
71342620631352
oct234471615310
960227224115
1021020220104
118a07403534
1240a7767288
131c9cb74480
1410359b80d2
158305e356e
hex4e4e71ac8

21020220104 has 128 divisors (see below), whose sum is σ = 45372096000. Its totient is φ = 9059226624.

The previous prime is 21020220101. The next prime is 21020220107. The reversal of 21020220104 is 40102202012.

It is an interprime number because it is at equal distance from previous prime (21020220101) and next prime (21020220107).

It is a super-3 number, since 3×210202201043 (a number of 32 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (21020220101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14135249 + ... + 14136735.

It is an arithmetic number, because the mean of its divisors is an integer number (354469500).

Almost surely, 221020220104 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 21020220104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22686048000).

21020220104 is an abundant number, since it is smaller than the sum of its proper divisors (24351875896).

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

21020220104 is a wasteful number, since it uses less digits than its factorization.

21020220104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1687 (or 1683 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 21020220104 its reverse (40102202012), we get a palindrome (61122422116).

The spelling of 21020220104 in words is "twenty-one billion, twenty million, two hundred twenty thousand, one hundred four".

Divisors: 1 2 4 8 13 26 29 43 52 58 86 104 109 116 172 218 232 344 377 436 559 754 872 1118 1247 1417 1487 1508 2236 2494 2834 2974 3016 3161 4472 4687 4988 5668 5948 6322 9374 9976 11336 11896 12644 16211 18748 19331 25288 32422 37496 38662 41093 43123 60931 63941 64844 77324 82186 86246 121862 127882 129688 135923 154648 162083 164372 172492 243724 255764 271846 324166 328744 344984 487448 511528 543692 560599 648332 831233 1087384 1121198 1296664 1662466 1766999 1854289 2107079 2242396 3324932 3533998 3708578 4214158 4484792 4700407 6649864 6969569 7067996 7417156 8428316 9400814 13939138 14135992 14834312 16856632 18801628 24105757 27878276 37603256 48211514 55756552 61105291 90604397 96423028 122210582 181208794 192846056 202117501 244421164 362417588 404235002 488842328 724835176 808470004 1616940008 2627527513 5255055026 10510110052 21020220104