Search a number
-
+
100020180854080 = 2651782122394717
BaseRepresentation
bin10110101111011111000011…
…010110011010010101000000
3111010010211120101011010200201
4112233133003112122111000
5101102212312244312310
6552420345312254544
730032135215442434
oct2657370326322500
9433124511133621
10100020180854080
1129962358631583
12b2746b8241454
1343a6b2a133416
141a9b0071349c4
15b86b4b361e3a
hex5af7c359a540

100020180854080 has 112 divisors (see below), whose sum is σ = 252490412616336. Its totient is φ = 37608790261760.

The previous prime is 100020180854053. The next prime is 100020180854129. The reversal of 100020180854080 is 80458081020001.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 35860239424 + 99984320614656 = 189368^2 + 9999216^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6731119 + ... + 15663598.

Almost surely, 2100020180854080 is an apocalyptic number.

100020180854080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100020180854080 is an abundant number, since it is smaller than the sum of its proper divisors (152470231762256).

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

100020180854080 is a wasteful number, since it uses less digits than its factorization.

100020180854080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22395572 (or 22395562 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 37.

The spelling of 100020180854080 in words is "one hundred trillion, twenty billion, one hundred eighty million, eight hundred fifty-four thousand, eighty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 136 160 170 272 320 340 544 680 821 1088 1360 1642 2720 3284 4105 5440 6568 8210 13136 13957 16420 26272 27914 32840 52544 55828 65680 69785 111656 131360 139570 223312 262720 279140 446624 558280 893248 1116560 2233120 4466240 22394717 44789434 89578868 111973585 179157736 223947170 358315472 380710189 447894340 716630944 761420378 895788680 1433261888 1522840756 1791577360 1903550945 3045681512 3583154720 3807101890 6091363024 7166309440 7614203780 12182726048 15228407560 18386062657 24365452096 30456815120 36772125314 60913630240 73544250628 91930313285 121827260480 147088501256 183860626570 294177002512 312563065169 367721253140 588354005024 625126130338 735442506280 1176708010048 1250252260676 1470885012560 1562815325845 2500504521352 2941770025120 3125630651690 5001009042704 5883540050240 6251261303380 10002018085408 12502522606760 20004036170816 25005045213520 50010090427040 100020180854080