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10342105225210 = 2511261259354037
BaseRepresentation
bin1001011001111111010110…
…0000100001011111111010
31100121200210002120100011001
42112133311200201133322
52323421112414201320
633555033023155214
72115123002646403
oct226376540413772
940550702510131
1010342105225210
113328075866200
1211b0452145b0a
135a0344236975
1427a7bc2889aa
1512e04dd3420a
hex967f58217fa

10342105225210 has 96 divisors (see below), whose sum is σ = 20805831372816. Its totient is φ = 3697618636800.

The previous prime is 10342105225201. The next prime is 10342105225211. The reversal of 10342105225210 is 1252250124301.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 4757253918769 + 5584851306441 = 2181113^2 + 2363229^2 .

It is not an unprimeable number, because it can be changed into a prime (10342105225211) 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, 191362312 + ... + 191416348.

Almost surely, 210342105225210 is an apocalyptic number.

10342105225210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10342105225210 is an abundant number, since it is smaller than the sum of its proper divisors (10463726147606).

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

10342105225210 is a wasteful number, since it uses less digits than its factorization.

10342105225210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56720 (or 56709 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

Adding to 10342105225210 its reverse (1252250124301), we get a palindrome (11594355349511).

The spelling of 10342105225210 in words is "ten trillion, three hundred forty-two billion, one hundred five million, two hundred twenty-five thousand, two hundred ten".

Divisors: 1 2 5 10 11 22 55 61 110 121 122 242 305 605 610 671 1210 1342 2593 3355 5186 6710 7381 12965 14762 25930 28523 36905 54037 57046 73810 108074 142615 158173 270185 285230 313753 316346 540370 594407 627506 790865 1188814 1568765 1581730 1739903 2972035 3137530 3296257 3479806 5944070 6538477 6592514 8699515 13076954 16481285 17399030 19138933 32692385 32962570 36258827 38277866 65384770 72517654 95694665 140117941 181294135 191389330 280235882 362588270 398847097 700589705 797694194 1401179410 1541297351 1994235485 3082594702 3988470970 7706486755 8547194401 15412973510 16954270861 17094388802 33908541722 42735972005 84771354305 85471944010 94019138411 169542708610 188038276822 470095692055 940191384110 1034210522521 2068421045042 5171052612605 10342105225210