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1002002022300 = 2235273145331489
BaseRepresentation
bin11101001010010111111…
…10010111111110011100
310112210100020120200210010
432211023332113332130
5112404100004203200
62044151404443220
7132251354442516
oct16451376277634
93483306520703
101002002022300
11356a46023984
12142240549510
1373646ca0516
14366d62aabb6
151b0e73c8150
hexe94bf97f9c

1002002022300 has 144 divisors (see below), whose sum is σ = 2940955898720. Its totient is φ = 263350517760.

The previous prime is 1002002022299. The next prime is 1002002022347. The reversal of 1002002022300 is 32202002001.

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 47 ways as a sum of consecutive naturals, for example, 31804956 + ... + 31836444.

Almost surely, 21002002022300 is an apocalyptic number.

1002002022300 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 1002002022300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1470477949360).

1002002022300 is an abundant number, since it is smaller than the sum of its proper divisors (1938953876420).

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

1002002022300 is a wasteful number, since it uses less digits than its factorization.

1002002022300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33032 (or 33025 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 1002002022300 its reverse (32202002001), we get a palindrome (1034204024301).

The spelling of 1002002022300 in words is "one trillion, two billion, two million, twenty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 73 75 100 146 150 219 292 300 365 438 730 876 1095 1453 1460 1825 2190 2906 3650 4359 4380 5475 5812 7265 7300 8718 10950 14530 17436 21795 21900 29060 31489 36325 43590 62978 72650 87180 94467 106069 108975 125956 145300 157445 188934 212138 217950 314890 318207 377868 424276 435900 472335 530345 629780 636414 787225 944670 1060690 1272828 1574450 1591035 1889340 2121380 2298697 2361675 2651725 3148900 3182070 4597394 4723350 5303450 6364140 6896091 7955175 9194788 9446700 10606900 11493485 13792182 15910350 22986970 27584364 31820700 34480455 45753517 45973940 57467425 68960910 91507034 114934850 137260551 137921820 172402275 183014068 228767585 229869700 274521102 344804550 457535170 549042204 686302755 689609100 915070340 1143837925 1372605510 2287675850 2745211020 3340006741 3431513775 4575351700 6680013482 6863027550 10020020223 13360026964 13726055100 16700033705 20040040446 33400067410 40080080892 50100101115 66800134820 83500168525 100200202230 167000337050 200400404460 250500505575 334000674100 501001011150 1002002022300