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21002210199712 = 2572127139758753
BaseRepresentation
bin1001100011001111101010…
…10001110100100010100000
32202100210101010202201011101
410301213311101310202200
510223100011302342322
6112400140540524144
74265234230120600
oct461476521644240
982323333681141
1021002210199712
116767a95149765
122432451850654
13b94666442651
14528726038c00
152664b0681327
hex1319f54748a0

21002210199712 has 144 divisors (see below), whose sum is σ = 48826366202880. Its totient is φ = 8865816809472.

The previous prime is 21002210199709. The next prime is 21002210199713. The reversal of 21002210199712 is 21799101220012.

It is not an unprimeable number, because it can be changed into a prime (21002210199713) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27300528 + ... + 28059280.

It is an arithmetic number, because the mean of its divisors is an integer number (339071987520).

Almost surely, 221002210199712 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 21002210199712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24413183101440).

21002210199712 is an abundant number, since it is smaller than the sum of its proper divisors (27824156003168).

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

21002210199712 is a wasteful number, since it uses less digits than its factorization.

21002210199712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 759043 (or 759028 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 37.

The spelling of 21002210199712 in words is "twenty-one trillion, two billion, two hundred ten million, one hundred ninety-nine thousand, seven hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 127 139 196 224 254 278 392 508 556 784 889 973 1016 1112 1568 1778 1946 2032 2224 3556 3892 4064 4448 6223 6811 7112 7784 12446 13622 14224 15568 17653 24892 27244 28448 31136 35306 49784 54488 70612 99568 108976 123571 141224 199136 217952 247142 282448 494284 564896 758753 864997 988568 1517506 1729994 1977136 3035012 3459988 3954272 5311271 6070024 6919976 10622542 12140048 13839952 21245084 24280096 27679904 37178897 42490168 74357794 84980336 96361631 105466667 148715588 169960672 192723262 210933334 297431176 385446524 421866668 594862352 674531417 738266669 770893048 843733336 1189724704 1349062834 1476533338 1541786096 1687466672 2698125668 2953066676 3083572192 3374933344 4721719919 5167866683 5396251336 5906133352 9443439838 10335733366 10792502672 11812266704 13394266709 18886879676 20671466732 21585005344 23624533408 26788533418 37773759352 41342933464 53577066836 75547518704 82685866928 93759866963 107154133672 151095037408 165371733856 187519733926 214308267344 375039467852 428616534688 656319068741 750078935704 1312638137482 1500157871408 2625276274964 3000315742816 5250552549928 10501105099856 21002210199712