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102405630223060 = 225193471375756453
BaseRepresentation
bin10111010010001100101011…
…001101100110001011010100
3111102120212211102222201022121
4113102030223031212023110
5101410303212314114220
61001444255211105324
730366363660512653
oct2722145315461324
9442525742881277
10102405630223060
112a6a1a9060826a
12b59aa92442244
13451aa6a5c5488
141b4065d4d919a
15bc8c135d9eaa
hex5d232b3662d4

102405630223060 has 96 divisors (see below), whose sum is σ = 227043228666240. Its totient is φ = 38691012146688.

The previous prime is 102405630223037. The next prime is 102405630223123. The reversal of 102405630223060 is 60322036504201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1813969794 + ... + 1814026246.

It is an arithmetic number, because the mean of its divisors is an integer number (2365033631940).

Almost surely, 2102405630223060 is an apocalyptic number.

102405630223060 is a gapful number since it is divisible by the number (10) 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 102405630223060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113521614333120).

102405630223060 is an abundant number, since it is smaller than the sum of its proper divisors (124637598443180).

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

102405630223060 is a wasteful number, since it uses less digits than its factorization.

102405630223060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70585 (or 70583 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 34.

Adding to 102405630223060 its reverse (60322036504201), we get a palindrome (162727666727261).

The spelling of 102405630223060 in words is "one hundred two trillion, four hundred five billion, six hundred thirty million, two hundred twenty-three thousand, sixty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 347 380 694 1388 1735 3470 6593 6940 13186 13757 26372 27514 32965 55028 56453 65930 68785 112906 131860 137570 225812 261383 275140 282265 522766 564530 1045532 1072607 1129060 1306915 2145214 2613830 4290428 4773679 5227660 5363035 9547358 10726070 19094716 19589191 21452140 23868395 39178382 47736790 78356764 90699901 95473580 97945955 181399802 195891910 362799604 372194629 391783820 453499505 744389258 776623921 906999010 1488778516 1553247842 1813998020 1860973145 3106495684 3721946290 3883119605 7443892580 7766239210 14755854499 15532478420 29511708998 59023417996 73779272495 147558544990 269488500587 295117089980 538977001174 1077954002348 1347442502935 2694885005870 5120281511153 5389770011740 10240563022306 20481126044612 25601407555765 51202815111530 102405630223060