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1353226106112 = 28316713277951
BaseRepresentation
bin10011101100010010100…
…011111011010100000000
311210100220122122210110120
4103230102203323110000
5134132401340343422
62513355151500240
7166524130054326
oct23542243732400
94710818583416
101353226106112
11481999949541
1219a320827680
139a7bb34649a
14496d453bd16
1525301b2345c
hex13b128fb500

1353226106112 has 144 divisors (see below), whose sum is σ = 3626307428352. Its totient is φ = 447980083200.

The previous prime is 1353226106081. The next prime is 1353226106119. The reversal of 1353226106112 is 2116016223531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1353226106119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 170191737 + ... + 170199687.

Almost surely, 21353226106112 is an apocalyptic number.

1353226106112 is a gapful number since it is divisible by the number (12) 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 1353226106112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1813153714176).

1353226106112 is an abundant number, since it is smaller than the sum of its proper divisors (2273081322240).

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

1353226106112 is a wasteful number, since it uses less digits than its factorization.

1353226106112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9464 (or 9450 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The spelling of 1353226106112 in words is "one trillion, three hundred fifty-three billion, two hundred twenty-six million, one hundred six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 167 192 256 334 384 501 668 768 1002 1327 1336 2004 2654 2672 3981 4008 5308 5344 7951 7962 8016 10616 10688 15902 15924 16032 21232 21376 23853 31804 31848 32064 42464 42752 47706 63608 63696 64128 84928 95412 127216 127392 128256 169856 190824 221609 254432 254784 339712 381648 443218 508864 509568 664827 763296 886436 1017728 1019136 1327817 1329654 1526592 1772872 2035456 2655634 2659308 3053184 3545744 3983451 5311268 5318616 6106368 7091488 7966902 10550977 10622536 10637232 14182976 15933804 21101954 21245072 21274464 28365952 31652931 31867608 42203908 42490144 42548928 56731904 63305862 63735216 84407816 84980288 85097856 126611724 127470432 168815632 169960576 170195712 253223448 254940864 337631264 339921152 506446896 509881728 675262528 1012893792 1019763456 1350525056 1762013159 2025787584 2701050112 3524026318 4051575168 5286039477 7048052636 8103150336 10572078954 14096105272 21144157908 28192210544 42288315816 56384421088 84576631632 112768842176 169153263264 225537684352 338306526528 451075368704 676613053056 1353226106112