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21301122310020 = 22325718131932417
BaseRepresentation
bin1001101011111100011011…
…10101000001111110000100
32210102100220211122012210200
410311332031311001332010
510242444144302410040
6113145333412450500
74325645445126210
oct465761565017604
983370824565720
1021301122310020
116872834252373
122480372919a30
13bb68c1a70837
14538da08b1940
1526e15759c630
hex135f8dd41f84

21301122310020 has 144 divisors (see below), whose sum is σ = 73848042672768. Its totient is φ = 4868554199040.

The previous prime is 21301122310001. The next prime is 21301122310021. The reversal of 21301122310020 is 2001322110312.

21301122310020 is a `hidden beast` number, since 21 + 301 + 1 + 223 + 100 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 21301122309975 and 21301122310002.

It is not an unprimeable number, because it can be changed into a prime (21301122310021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22378852 + ... + 23311268.

It is an arithmetic number, because the mean of its divisors is an integer number (512833629672).

Almost surely, 221301122310020 is an apocalyptic number.

21301122310020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21301122310020 is an abundant number, since it is smaller than the sum of its proper divisors (52546920362748).

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

21301122310020 is a wasteful number, since it uses less digits than its factorization.

21301122310020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 950570 (or 950565 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 21301122310020 its reverse (2001322110312), we get a palindrome (23302444420332).

The spelling of 21301122310020 in words is "twenty-one trillion, three hundred one billion, one hundred twenty-two million, three hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 18131 36262 54393 72524 90655 108786 126917 163179 181310 217572 253834 271965 326358 362620 380751 507668 543930 634585 652716 761502 815895 932417 1087860 1142253 1269170 1523004 1631790 1864834 1903755 2284506 2538340 2797251 3263580 3729668 3807510 4569012 4662085 5594502 5711265 6526919 7615020 8391753 9324170 11189004 11422530 13053838 13986255 16783506 18648340 19580757 22845060 26107676 27972510 32634595 33567012 39161514 41958765 55945020 58742271 65269190 78323028 83917530 97903785 117484542 130538380 167835060 195807570 234969084 293711355 391615140 587422710 1174845420 16905652627 33811305254 50716957881 67622610508 84528263135 101433915762 118339568389 152150873643 169056526270 202867831524 236679136778 253584789405 304301747286 338113052540 355018705167 473358273556 507169578810 591697841945 608603494572 710037410334 760754368215 1014339157620 1065056115501 1183395683890 1420074820668 1521508736430 1775093525835 2130112231002 2366791367780 3043017472860 3550187051670 4260224462004 5325280577505 7100374103340 10650561155010 21301122310020