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133202232020 = 2251113157296651
BaseRepresentation
bin111110000001101111…
…0001100001011010100
3110201211002111111010202
41330003132030023110
54140244232411040
6141105310040032
712423606201524
oct1740336141324
9421732444122
10133202232020
1151544207480
12219951a9018
13c73a445290
1466388b5684
1536e9053015
hex1f0378c2d4

133202232020 has 96 divisors (see below), whose sum is σ = 330721888896. Its totient is φ = 44426304000.

The previous prime is 133202232019. The next prime is 133202232047. The reversal of 133202232020 is 20232202331.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 133202231983 and 133202232001.

It is a congruent number.

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, 300695 + ... + 597345.

It is an arithmetic number, because the mean of its divisors is an integer number (3445019676).

Almost surely, 2133202232020 is an apocalyptic number.

133202232020 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 133202232020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165360944448).

133202232020 is an abundant number, since it is smaller than the sum of its proper divisors (197519656876).

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

133202232020 is a wasteful number, since it uses less digits than its factorization.

133202232020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296841 (or 296839 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 133202232020 its reverse (20232202331), we get a palindrome (153434434351).

The spelling of 133202232020 in words is "one hundred thirty-three billion, two hundred two million, two hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 157 220 260 286 314 572 628 715 785 1430 1570 1727 2041 2860 3140 3454 4082 6908 8164 8635 10205 17270 20410 22451 34540 40820 44902 89804 112255 224510 296651 449020 593302 1186604 1483255 2966510 3263161 3856463 5933020 6526322 7712926 13052644 15425852 16315805 19282315 32631610 38564630 42421093 46574207 65263220 77129260 84842186 93148414 169684372 186296828 212105465 232871035 424210930 465742070 512316277 605464691 848421860 931484140 1024632554 1210929382 2049265108 2421858764 2561581385 3027323455 5123162770 6054646910 6660111601 10246325540 12109293820 13320223202 26640446404 33300558005 66601116010 133202232020