Search a number
-
+
21111600132 = 2233736776091
BaseRepresentation
bin10011101010010110…
…010111010000000100
32000111022012101222000
4103222112113100010
5321214032201012
613410514505300
71345110432420
oct235226272004
960438171860
1021111600132
118a53a47717
124112295230
131cb5a8a5ac
141043ba3b80
15838643ddc
hex4ea597404

21111600132 has 96 divisors (see below), whose sum is σ = 62724157440. Its totient is φ = 6015371040.

The previous prime is 21111600121. The next prime is 21111600163. The reversal of 21111600132 is 23100611112.

21111600132 is a `hidden beast` number, since 21 + 1 + 11 + 600 + 1 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 239407 + ... + 315497.

It is an arithmetic number, because the mean of its divisors is an integer number (653376640).

Almost surely, 221111600132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21111600132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31362078720).

21111600132 is an abundant number, since it is smaller than the sum of its proper divisors (41612557308).

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

21111600132 is a wasteful number, since it uses less digits than its factorization.

21111600132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76478 (or 76470 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The spelling of 21111600132 in words is "twenty-one billion, one hundred eleven million, six hundred thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 367 378 734 756 1101 1468 2202 2569 3303 4404 5138 6606 7707 9909 10276 13212 15414 19818 23121 30828 39636 46242 69363 76091 92484 138726 152182 228273 277452 304364 456546 532637 684819 913092 1065274 1369638 1597911 2054457 2130548 2739276 3195822 4108914 4793733 6391644 8217828 9587466 14381199 19174932 27925397 28762398 55850794 57524796 83776191 111701588 167552382 195477779 251328573 335104764 390955558 502657146 586433337 753985719 781911116 1005314292 1172866674 1507971438 1759300011 2345733348 3015942876 3518600022 5277900033 7037200044 10555800066 21111600132