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1330222102000 = 245311102159221
BaseRepresentation
bin10011010110110111011…
…010100111010111110000
311201011112110120022021021
4103112313122213113300
5133243243324231000
62455032352105224
7165051100210051
oct23266732472760
94634473508237
101330222102000
114731647747a0
12195980835214
13985934b492c
14485512ca728
15249072c211a
hex135b76a75f0

1330222102000 has 160 divisors (see below), whose sum is σ = 3512380068288. Its totient is φ = 483235200000.

The previous prime is 1330222101991. The next prime is 1330222102009. The reversal of 1330222102000 is 2012220331.

It is an interprime number because it is at equal distance from previous prime (1330222101991) and next prime (1330222102009).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1330222102009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22432390 + ... + 22491610.

Almost surely, 21330222102000 is an apocalyptic number.

1330222102000 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 1330222102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1756190034144).

1330222102000 is an abundant number, since it is smaller than the sum of its proper divisors (2182157966288).

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

1330222102000 is a wasteful number, since it uses less digits than its factorization.

1330222102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60276 (or 60260 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 1330222102000 its reverse (2012220331), we get a palindrome (1332234322331).

The spelling of 1330222102000 in words is "one trillion, three hundred thirty billion, two hundred twenty-two million, one hundred two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1021 1100 1375 2000 2042 2200 2750 4084 4400 5105 5500 8168 10210 11000 11231 16336 20420 22000 22462 25525 40840 44924 51050 56155 59221 81680 89848 102100 112310 118442 127625 179696 204200 224620 236884 255250 280775 296105 408400 449240 473768 510500 561550 592210 651431 898480 947536 1021000 1123100 1184420 1302862 1403875 1480525 2042000 2246200 2368840 2605724 2807750 2961050 3257155 4492400 4737680 5211448 5615500 5922100 6514310 7402625 10422896 11231000 11844200 13028620 14805250 16285775 22462000 23688400 26057240 29610500 32571550 52114480 59221000 60464641 65143100 81428875 118442000 120929282 130286200 162857750 241858564 260572400 302323205 325715500 483717128 604646410 651431000 665111051 967434256 1209292820 1302862000 1330222102 1511616025 2418585640 2660444204 3023232050 3325555255 4837171280 5320888408 6046464100 6651110510 7558080125 10641776816 12092928200 13302221020 15116160250 16627776275 24185856400 26604442040 30232320500 33255552550 53208884080 60464641000 66511105100 83138881375 120929282000 133022210200 166277762750 266044420400 332555525500 665111051000 1330222102000