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10321420340 = 22571153126457
BaseRepresentation
bin10011001110011010…
…00110000000110100
3222122022120110221102
421213031012000310
5132114240422330
64424103505232
7513526424330
oct114715060064
928568513842
1010321420340
114417199960
122000758218
13c8647801a
146dcb107c0
154061ed945
hex267346034

10321420340 has 96 divisors (see below), whose sum is σ = 27533447424. Its totient is φ = 3156341760.

The previous prime is 10321420313. The next prime is 10321420349. The reversal of 10321420340 is 4302412301.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10321420349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18392 + ... + 144848.

It is an arithmetic number, because the mean of its divisors is an integer number (286806744).

Almost surely, 210321420340 is an apocalyptic number.

10321420340 is a gapful number since it is divisible by the number (10) 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 10321420340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13766723712).

10321420340 is an abundant number, since it is smaller than the sum of its proper divisors (17212027084).

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

10321420340 is a wasteful number, since it uses less digits than its factorization.

10321420340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126537 (or 126535 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 10321420340 its reverse (4302412301), we get a palindrome (14623832641).

The spelling of 10321420340 in words is "ten billion, three hundred twenty-one million, four hundred twenty thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 53 55 70 77 106 110 140 154 212 220 265 308 371 385 530 583 742 770 1060 1166 1484 1540 1855 2332 2915 3710 4081 5830 7420 8162 11660 16324 20405 40810 81620 126457 252914 505828 632285 885199 1264570 1391027 1770398 2529140 2782054 3540796 4425995 5564108 6702221 6955135 8851990 9737189 13404442 13910270 17703980 19474378 26808884 27820540 33511105 38948756 46915547 48685945 67022210 73724431 93831094 97371890 134044420 147448862 187662188 194743780 234577735 294897724 368622155 469155470 516071017 737244310 938310940 1032142034 1474488620 2064284068 2580355085 5160710170 10321420340