Search a number
-
+
400010100133300 = 225271337167179379
BaseRepresentation
bin101101011110011101001101…
…1111011001100110110110100
31221110022120222122110001022221
41122330322123323030312310
5404412231141113231200
63534430034135532124
7150153530115433156
oct13274723373146664
91843276878401287
10400010100133300
111065013703132a8
1238a4477922a044
1314227a37bc75a7
1470ac840bd4ad6
15313a2a9bba91a
hex16bce9beccdb4

400010100133300 has 72 divisors (see below), whose sum is σ = 882859593994560. Its totient is φ = 157282358822400.

The previous prime is 400010100133297. The next prime is 400010100133307. The reversal of 400010100133300 is 3331001010004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400010100133307) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81196990 + ... + 85982389.

It is an arithmetic number, because the mean of its divisors is an integer number (12261938805480).

Almost surely, 2400010100133300 is an apocalyptic number.

It is an amenable number.

400010100133300 is an abundant number, since it is smaller than the sum of its proper divisors (482849493861260).

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

400010100133300 is a wasteful number, since it uses less digits than its factorization.

400010100133300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167179801 (or 167179794 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 400010100133300 its reverse (3331001010004), we get a palindrome (403341101143304).

The spelling of 400010100133300 in words is "four hundred trillion, ten billion, one hundred million, one hundred thirty-three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 71 100 142 284 337 355 674 710 1348 1420 1685 1775 3370 3550 6740 7100 8425 16850 23927 33700 47854 95708 119635 239270 478540 598175 1196350 2392700 167179379 334358758 668717516 835896895 1671793790 3343587580 4179484475 8358968950 11869735909 16717937900 23739471818 47478943636 56339450723 59348679545 112678901446 118697359090 225357802892 237394718180 281697253615 296743397725 563394507230 593486795450 1126789014460 1186973590900 1408486268075 2816972536150 4000101001333 5633945072300 8000202002666 16000404005332 20000505006665 40001010013330 80002020026660 100002525033325 200005050066650 400010100133300