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1220104431234 = 2321371464315817
BaseRepresentation
bin10001110000010011111…
…001000010011010000010
311022122022011202000221200
4101300103321002122002
5124442233213244414
62332301440202030
7154102216356123
oct21602371023202
94278264660850
101220104431234
11430497163917
1217856a609316
138b0947c8070
14430a663604a
1521b0ebd4109
hex11c13e42682

1220104431234 has 96 divisors (see below), whose sum is σ = 2887812031104. Its totient is φ = 370026074880.

The previous prime is 1220104431223. The next prime is 1220104431253. The reversal of 1220104431234 is 4321344010221.

1220104431234 is a `hidden beast` number, since 1 + 2 + 201 + 0 + 4 + 431 + 23 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1220104431198 and 1220104431207.

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, 77130894 + ... + 77146710.

It is an arithmetic number, because the mean of its divisors is an integer number (30081375324).

Almost surely, 21220104431234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1220104431234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1443906015552).

1220104431234 is an abundant number, since it is smaller than the sum of its proper divisors (1667707599870).

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

1220104431234 is a wasteful number, since it uses less digits than its factorization.

1220104431234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20552 (or 20549 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 1220104431234 its reverse (4321344010221), we get a palindrome (5541448441455).

The spelling of 1220104431234 in words is "one trillion, two hundred twenty billion, one hundred four million, four hundred thirty-one thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 39 71 78 117 142 213 234 426 639 923 1278 1846 2769 4643 5538 8307 9286 13929 15817 16614 27858 31634 41787 47451 60359 83574 94902 120718 142353 181077 205621 284706 329653 362154 411242 543231 616863 659306 988959 1086462 1123007 1233726 1850589 1977918 2246014 2966877 3369021 3701178 4285489 5933754 6738042 8570978 10107063 12856467 14599091 20214126 25712934 29198182 38569401 43797273 73438331 77138802 87594546 131391819 146876662 220314993 262783638 440629986 660944979 954698303 1321889958 1909396606 2864094909 5214121501 5728189818 8592284727 10428243002 15642364503 17184569454 31284729006 46927093509 67783579513 93854187018 135567159026 203350738539 406701477078 610052215617 1220104431234