Search a number
-
+
1033204340100 = 2235267109471589
BaseRepresentation
bin11110000100011111100…
…01110001010110000100
310122202212210020200010010
433002033301301112010
5113412000302340400
62110351510430220
7134434523662212
oct17021761612604
93582783220103
101033204340100
113691a7a07089
121482aa062370
137657a48ba6a
1438016289cb2
151bd21849450
hexf08fc71584

1033204340100 has 144 divisors (see below), whose sum is σ = 3061864097600. Its totient is φ = 268918341120.

The previous prime is 1033204340071. The next prime is 1033204340107. The reversal of 1033204340100 is 10434023301.

It is a super-2 number, since 2×10332043401002 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1033204340107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1955106 + ... + 2426694.

Almost surely, 21033204340100 is an apocalyptic number.

1033204340100 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 1033204340100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1530932048800).

1033204340100 is an abundant number, since it is smaller than the sum of its proper divisors (2028659757500).

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

1033204340100 is a wasteful number, since it uses less digits than its factorization.

1033204340100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471782 (or 471775 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 1033204340100 its reverse (10434023301), we get a palindrome (1043638363401).

The spelling of 1033204340100 in words is "one trillion, thirty-three billion, two hundred four million, three hundred forty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 67 75 100 109 134 150 201 218 268 300 327 335 402 436 545 654 670 804 1005 1090 1308 1340 1635 1675 2010 2180 2725 3270 3350 4020 5025 5450 6540 6700 7303 8175 10050 10900 14606 16350 20100 21909 29212 32700 36515 43818 73030 87636 109545 146060 182575 219090 365150 438180 471589 547725 730300 943178 1095450 1414767 1886356 2190900 2357945 2829534 4715890 5659068 7073835 9431780 11789725 14147670 23579450 28295340 31596463 35369175 47158900 51403201 63192926 70738350 94789389 102806402 126385852 141476700 154209603 157982315 189578778 205612804 257016005 308419206 315964630 379157556 473946945 514032010 616838412 631929260 771048015 789911575 947893890 1028064020 1285080025 1542096030 1579823150 1895787780 2369734725 2570160050 3084192060 3159646300 3444014467 3855240075 4739469450 5140320100 6888028934 7710480150 9478938900 10332043401 13776057868 15420960300 17220072335 20664086802 34440144670 41328173604 51660217005 68880289340 86100361675 103320434010 172200723350 206640868020 258301085025 344401446700 516602170050 1033204340100