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103331122230 = 235711314513001
BaseRepresentation
bin110000000111100000…
…0111100110000110110
3100212201022201212220010
41200033000330300312
53143110231402410
6115245240321050
710315433022060
oct1401700746066
9325638655803
10103331122230
113a9057a7586
1218039473186
13998999a79b
14500361c730
152a4b8d8c20
hex180f03cc36

103331122230 has 128 divisors (see below), whose sum is σ = 286223072256. Its totient is φ = 23385600000.

The previous prime is 103331122229. The next prime is 103331122243. The reversal of 103331122230 is 32221133301.

It is a super-2 number, since 2×1033311222302 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 103331122197 and 103331122206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34430730 + ... + 34433730.

It is an arithmetic number, because the mean of its divisors is an integer number (2236117752).

Almost surely, 2103331122230 is an apocalyptic number.

103331122230 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 103331122230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143111536128).

103331122230 is an abundant number, since it is smaller than the sum of its proper divisors (182891950026).

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

103331122230 is a wasteful number, since it uses less digits than its factorization.

103331122230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4582.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 103331122230 its reverse (32221133301), we get a palindrome (135552255531).

The spelling of 103331122230 in words is "one hundred three billion, three hundred thirty-one million, one hundred twenty-two thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 113 210 226 339 565 678 791 1130 1451 1582 1695 2373 2902 3001 3390 3955 4353 4746 6002 7255 7910 8706 9003 10157 11865 14510 15005 18006 20314 21007 21765 23730 30010 30471 42014 43530 45015 50785 60942 63021 90030 101570 105035 126042 152355 163963 210070 304710 315105 327926 339113 491889 630210 678226 819815 983778 1017339 1147741 1639630 1695565 2034678 2295482 2373791 2459445 3391130 3443223 4354451 4747582 4918890 5086695 5738705 6886446 7121373 8708902 10173390 11477410 11868955 13063353 14242746 17216115 21772255 23737910 26126706 30481157 34432230 35606865 43544510 60962314 65316765 71213730 91443471 130633530 152405785 182886942 304811570 457217355 492052963 914434710 984105926 1476158889 2460264815 2952317778 3444370741 4920529630 6888741482 7380794445 10333112223 14761588890 17221853705 20666224446 34443707410 51665561115 103331122230