Search a number
-
+
10000322300 = 22522941151557
BaseRepresentation
bin10010101000001000…
…01100111011111100
3221210221101000020102
421110010030323330
5130440040303200
64332153340232
7502550223413
oct112404147374
927727330212
1010000322300
114271a15181
121b31107678
13c34aa1097
146ac20847a
153d7e236d5
hex25410cefc

10000322300 has 144 divisors (see below), whose sum is σ = 23190390720. Its totient is φ = 3736320000.

The previous prime is 10000322291. The next prime is 10000322323. The reversal of 10000322300 is 322300001.

It is a super-2 number, since 2×100003223002 (a number of 21 digits) contains 22 as substring.

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, 17953622 + ... + 17954178.

It is an arithmetic number, because the mean of its divisors is an integer number (161044380).

Almost surely, 210000322300 is an apocalyptic number.

10000322300 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 10000322300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11595195360).

10000322300 is an abundant number, since it is smaller than the sum of its proper divisors (13190068420).

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

10000322300 is a wasteful number, since it uses less digits than its factorization.

10000322300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

Adding to 10000322300 its reverse (322300001), we get a palindrome (10322622301).

The spelling of 10000322300 in words is "ten billion, three hundred twenty-two thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 29 41 50 58 82 100 116 145 151 164 205 290 302 410 557 580 604 725 755 820 1025 1114 1189 1450 1510 2050 2228 2378 2785 2900 3020 3775 4100 4379 4756 5570 5945 6191 7550 8758 11140 11890 12382 13925 15100 16153 17516 21895 22837 23780 24764 27850 29725 30955 32306 43790 45674 55700 59450 61910 64612 80765 84107 87580 91348 109475 114185 118900 123820 154775 161530 168214 179539 218950 228370 309550 323060 336428 359078 403825 420535 437900 456740 570925 619100 662273 718156 807650 841070 897695 1141850 1324546 1615300 1682140 1795390 2102675 2283700 2439103 2649092 3311365 3448387 3590780 4205350 4488475 4878206 6622730 6896774 8410700 8976950 9756412 12195515 13245460 13793548 16556825 17241935 17953900 24391030 33113650 34483870 48782060 60977575 66227300 68967740 86209675 100003223 121955150 172419350 200006446 243910300 344838700 400012892 500016115 1000032230 2000064460 2500080575 5000161150 10000322300