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1023130002000 = 243531223139429
BaseRepresentation
bin11101110001101110100…
…11001110001001010000
310121210212200121021021210
432320313103032021100
5113230332240031000
62102004110420120
7133630054345131
oct16706723161120
93553780537253
101023130002000
113649a8238827
12146358201640
1375633274362
143773c2d5c88
151b9321a5350
hexee374ce250

1023130002000 has 160 divisors (see below), whose sum is σ = 3301291918080. Its totient is φ = 272609625600.

The previous prime is 1023130001983. The next prime is 1023130002017. The reversal of 1023130002000 is 2000313201.

It is a happy number.

1023130002000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1023130001983) and next prime (1023130002017).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7268286 + ... + 7407714.

It is an arithmetic number, because the mean of its divisors is an integer number (20633074488).

Almost surely, 21023130002000 is an apocalyptic number.

1023130002000 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 1023130002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1650645959040).

1023130002000 is an abundant number, since it is smaller than the sum of its proper divisors (2278161916080).

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

1023130002000 is a wasteful number, since it uses less digits than its factorization.

1023130002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140678 (or 140662 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 1023130002000 its reverse (2000313201), we get a palindrome (1025130315201).

The spelling of 1023130002000 in words is "one trillion, twenty-three billion, one hundred thirty million, two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1223 1500 2000 2446 3000 3669 4892 6000 6115 7338 9784 12230 14676 18345 19568 24460 29352 30575 36690 48920 58704 61150 73380 91725 97840 122300 139429 146760 152875 183450 244600 278858 293520 305750 366900 418287 458625 489200 557716 611500 697145 733800 836574 917250 1115432 1223000 1394290 1467600 1673148 1834500 2091435 2230864 2446000 2788580 3346296 3485725 3669000 4182870 5577160 6692592 6971450 7338000 8365740 10457175 11154320 13942900 16731480 17428625 20914350 27885800 33462960 34857250 41828700 52285875 55771600 69714500 83657400 104571750 139429000 167314800 170521667 209143500 278858000 341043334 418287000 511565001 682086668 836574000 852608335 1023130002 1364173336 1705216670 2046260004 2557825005 2728346672 3410433340 4092520008 4263041675 5115650010 6820866680 8185040016 8526083350 10231300020 12789125025 13641733360 17052166700 20462600040 21315208375 25578250050 34104333400 40925200080 42630416750 51156500100 63945625125 68208666800 85260833500 102313000200 127891250250 170521667000 204626000400 255782500500 341043334000 511565001000 1023130002000