Search a number
-
+
10002201000 = 2335311303097
BaseRepresentation
bin10010101000010110…
…10111100110101000
3221211001220110022220
421110023113212220
5130441030413000
64332301514040
7502602206601
oct112413274650
927731813286
1010002201000
114272a88720
121b31872920
13c352ab23c
146ac576da8
153d81951a0
hex2542d79a8

10002201000 has 128 divisors (see below), whose sum is σ = 34043967360. Its totient is φ = 2424768000.

The previous prime is 10002200977. The next prime is 10002201019. The reversal of 10002201000 is 10220001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 10002201000.

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, 118549 + ... + 184548.

It is an arithmetic number, because the mean of its divisors is an integer number (265968495).

Almost surely, 210002201000 is an apocalyptic number.

10002201000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10002201000 is an abundant number, since it is smaller than the sum of its proper divisors (24041766360).

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

10002201000 is a wasteful number, since it uses less digits than its factorization.

10002201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303132 (or 303118 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 10002201000 its reverse (10220001), we get a palindrome (10012421001).

The spelling of 10002201000 in words is "ten billion, two million, two hundred one thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 125 132 150 165 200 220 250 264 275 300 330 375 440 500 550 600 660 750 825 1000 1100 1320 1375 1500 1650 2200 2750 3000 3300 4125 5500 6600 8250 11000 16500 33000 303097 606194 909291 1212388 1515485 1818582 2424776 3030970 3334067 3637164 4546455 6061940 6668134 7274328 7577425 9092910 10002201 12123880 13336268 15154850 16670335 18185820 20004402 22732275 26672536 30309700 33340670 36371640 37887125 40008804 45464550 50011005 60619400 66681340 75774250 80017608 83351675 90929100 100022010 113661375 133362680 151548500 166703350 181858200 200044020 227322750 250055025 303097000 333406700 400088040 416758375 454645500 500110050 666813400 833516750 909291000 1000220100 1250275125 1667033500 2000440200 2500550250 3334067000 5001100500 10002201000