Search a number
-
+
203470131540 = 2235131272054009
BaseRepresentation
bin1011110101111111000…
…0111101000101010100
3201110012011221122001210
42331133300331011110
511313201323202130
6233250051021420
720462115403404
oct2753760750524
9643164848053
10203470131540
1179322648405
123352589a870
131625822b650
149bc2d06804
15545ce315b0
hex2f5fc3d154

203470131540 has 96 divisors (see below), whose sum is σ = 618372034560. Its totient is φ = 49690561536.

The previous prime is 203470131533. The next prime is 203470131559. The reversal of 203470131540 is 45131074302.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 203470131498 and 203470131507.

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, 927945 + ... + 1126064.

It is an arithmetic number, because the mean of its divisors is an integer number (6441375360).

Almost surely, 2203470131540 is an apocalyptic number.

203470131540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

203470131540 is an abundant number, since it is smaller than the sum of its proper divisors (414901903020).

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

203470131540 is a wasteful number, since it uses less digits than its factorization.

203470131540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2054161 (or 2054159 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The spelling of 203470131540 in words is "two hundred three billion, four hundred seventy million, one hundred thirty-one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 127 130 156 195 254 260 381 390 508 635 762 780 1270 1524 1651 1905 2540 3302 3810 4953 6604 7620 8255 9906 16510 19812 24765 33020 49530 99060 2054009 4108018 6162027 8216036 10270045 12324054 20540090 24648108 26702117 30810135 41080180 53404234 61620270 80106351 106808468 123240540 133510585 160212702 260859143 267021170 320425404 400531755 521718286 534042340 782577429 801063510 1043436572 1304295715 1565154858 1602127020 2608591430 3130309716 3391168859 3912887145 5217182860 6782337718 7825774290 10173506577 13564675436 15651548580 16955844295 20347013154 33911688590 40694026308 50867532885 67823377180 101735065770 203470131540