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13235314332630 = 23513591135090251
BaseRepresentation
bin1100000010011001011000…
…1101011001001111010110
31201212021122210221012000110
43000212112031121033112
53213321410432121010
644052115223223450
72534135266414365
oct300462615311726
951767583835013
1013235314332630
114243079995765
121599113ba7b86
137501143769b0
1433a8422777dc
1517e43307c120
hexc09963593d6

13235314332630 has 128 divisors (see below), whose sum is σ = 35095862269440. Its totient is φ = 3174361344000.

The previous prime is 13235314332601. The next prime is 13235314332631. The reversal of 13235314332630 is 3623341353231.

It is a super-2 number, since 2×132353143326302 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13235314332631) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55005 + ... + 5145255.

It is an arithmetic number, because the mean of its divisors is an integer number (274186423980).

Almost surely, 213235314332630 is an apocalyptic number.

13235314332630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13235314332630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17547931134720).

13235314332630 is an abundant number, since it is smaller than the sum of its proper divisors (21860547936810).

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

13235314332630 is a wasteful number, since it uses less digits than its factorization.

13235314332630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5090446.

The product of its (nonzero) digits is 349920, while the sum is 39.

Adding to 13235314332630 its reverse (3623341353231), we get a palindrome (16858655685861).

The spelling of 13235314332630 in words is "thirteen trillion, two hundred thirty-five billion, three hundred fourteen million, three hundred thirty-two thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 59 65 78 113 118 130 177 195 226 295 339 354 390 565 590 678 767 885 1130 1469 1534 1695 1770 2301 2938 3390 3835 4407 4602 6667 7345 7670 8814 11505 13334 14690 20001 22035 23010 33335 40002 44070 66670 86671 100005 173342 200010 260013 433355 520026 866710 1300065 2600130 5090251 10180502 15270753 25451255 30541506 50902510 66173263 76353765 132346526 152707530 198519789 300324809 330866315 397039578 575198363 600649618 661732630 900974427 992598945 1150396726 1501624045 1725595089 1801948854 1985197890 2875991815 3003248090 3451190178 3904222517 4504872135 5751983630 7477578719 7808445034 8627975445 9009744270 11712667551 14955157438 17255950890 19521112585 22432736157 23425335102 33936703417 37387893595 39042225170 44865472314 58563337755 67873406834 74775787190 101810110251 112163680785 117126675510 169683517085 203620220502 224327361570 339367034170 441177144421 509050551255 882354288842 1018101102510 1323531433263 2205885722105 2647062866526 4411771444210 6617657166315 13235314332630