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103013221212 = 2232111678291879
BaseRepresentation
bin101111111110000010…
…0010000001101011100
3100211220011112211200100
41133330010100031130
53141432341034322
6115153522501100
710304522634666
oct1377404201534
9324804484610
10103013221212
113a762306870
1217b6ab04790
139938b72a85
144db3309536
152a2da40dac
hex17fc11035c

103013221212 has 144 divisors (see below), whose sum is σ = 286264742400. Its totient is φ = 30975281280.

The previous prime is 103013221193. The next prime is 103013221279. The reversal of 103013221212 is 212122310301.

It is a super-2 number, since 2×1030132212122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54822489 + ... + 54824367.

It is an arithmetic number, because the mean of its divisors is an integer number (1987949600).

Almost surely, 2103013221212 is an apocalyptic number.

103013221212 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 103013221212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143132371200).

103013221212 is an abundant number, since it is smaller than the sum of its proper divisors (183251521188).

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

103013221212 is a wasteful number, since it uses less digits than its factorization.

103013221212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2896 (or 2891 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 103013221212 its reverse (212122310301), we get a palindrome (315135531513).

The spelling of 103013221212 in words is "one hundred three billion, thirteen million, two hundred twenty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 167 198 334 396 501 668 829 1002 1503 1658 1837 1879 2004 2487 3006 3316 3674 3758 4974 5511 5637 6012 7348 7461 7516 9119 9948 11022 11274 14922 16533 16911 18238 20669 22044 22548 27357 29844 33066 33822 36476 41338 54714 62007 66132 67644 82071 82676 109428 124014 138443 164142 186021 248028 276886 313793 328284 372042 415329 553772 627586 744084 830658 941379 1245987 1255172 1522873 1557691 1661316 1882758 2491974 2824137 3045746 3115382 3451723 3765516 4568619 4673073 4983948 5648274 6091492 6230764 6903446 9137238 9346146 10355169 11296548 13705857 13806892 14019219 17134601 18274476 18692292 20710338 27411714 28038438 31065507 34269202 41420676 51403803 54823428 56076876 62131014 68538404 102807606 124262028 154211409 205615212 260134397 308422818 520268794 616845636 780403191 1040537588 1560806382 2341209573 2861478367 3121612764 4682419146 5722956734 8584435101 9364838292 11445913468 17168870202 25753305303 34337740404 51506610606 103013221212