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21301012213000 = 2353139771677113
BaseRepresentation
bin1001101011111100001110…
…10001000010110100001000
32210102100122011110201002021
410311332013101002310020
510242443433111304000
6113145314441014224
74325642640251512
oct465760721026410
983370564421067
1021301012213000
1168727880948a3
122480341a84374
13bb68a5003280
14538d90012bb2
1526e14caa111a
hex135f87442d08

21301012213000 has 128 divisors (see below), whose sum is σ = 53733525037920. Its totient is φ = 7856934297600.

The previous prime is 21301012212979. The next prime is 21301012213057. The reversal of 21301012213000 is 31221010312.

It can be written as a sum of positive squares in 16 ways, for example, as 34877056516 + 21266135156484 = 186754^2 + 4611522^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11862444 + ... + 13539556.

Almost surely, 221301012213000 is an apocalyptic number.

21301012213000 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 21301012213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26866762518960).

21301012213000 is an abundant number, since it is smaller than the sum of its proper divisors (32432512824920).

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

21301012213000 is a wasteful number, since it uses less digits than its factorization.

21301012213000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1678124 (or 1678110 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 21301012213000 its reverse (31221010312), we get a palindrome (21332233223312).

The spelling of 21301012213000 in words is "twenty-one trillion, three hundred one billion, twelve million, two hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 325 500 520 650 977 1000 1300 1625 1954 2600 3250 3908 4885 6500 7816 9770 12701 13000 19540 24425 25402 39080 48850 50804 63505 97700 101608 122125 127010 195400 244250 254020 317525 488500 508040 635050 977000 1270100 1587625 1677113 2540200 3175250 3354226 6350500 6708452 8385565 12701000 13416904 16771130 21802469 33542260 41927825 43604938 67084520 83855650 87209876 109012345 167711300 174419752 209639125 218024690 335422600 419278250 436049380 545061725 838556500 872098760 1090123450 1638539401 1677113000 2180246900 2725308625 3277078802 4360493800 5450617250 6554157604 8192697005 10901234500 13108315208 16385394010 21301012213 21802469000 32770788020 40963485025 42602024426 65541576040 81926970050 85204048852 106505061065 163853940100 170408097704 204817425125 213010122130 327707880200 409634850250 426020244260 532525305325 819269700500 852040488520 1065050610650 1638539401000 2130101221300 2662626526625 4260202442600 5325253053250 10650506106500 21301012213000