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1001022202300 = 225243268386767
BaseRepresentation
bin11101001000100011001…
…00101010000110111100
310112200210221212200102111
432210101210222012330
5112400043140433200
62043510243503404
7132215156220451
oct16442144520674
93480727780374
101001022202300
11356592a3368a
12142008387b64
137351bcaa683
14366420d3828
151b08b3810ba
hexe91192a1bc

1001022202300 has 72 divisors (see below), whose sum is σ = 2223588958976. Its totient is φ = 390946772160.

The previous prime is 1001022202139. The next prime is 1001022202331. The reversal of 1001022202300 is 32022201001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11493517 + ... + 11580283.

Almost surely, 21001022202300 is an apocalyptic number.

1001022202300 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 1001022202300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1111794479488).

1001022202300 is an abundant number, since it is smaller than the sum of its proper divisors (1222566756676).

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

1001022202300 is a wasteful number, since it uses less digits than its factorization.

1001022202300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89507 (or 89500 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 1001022202300 its reverse (32022201001), we get a palindrome (1033044403301).

The spelling of 1001022202300 in words is "one trillion, one billion, twenty-two million, two hundred two thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 43 50 86 100 172 215 430 860 1075 2150 2683 4300 5366 10732 13415 26830 53660 67075 86767 115369 134150 173534 230738 268300 347068 433835 461476 576845 867670 1153690 1735340 2169175 2307380 2884225 3730981 4338350 5768450 7461962 8676700 11536900 14923924 18654905 37309810 74619620 93274525 186549050 232795861 373098100 465591722 931183444 1163979305 2327958610 4655917220 5819896525 10010222023 11639793050 20020444046 23279586100 40040888092 50051110115 100102220230 200204440460 250255550575 500511101150 1001022202300