Search a number
-
+
202010322420 = 223251279379431
BaseRepresentation
bin1011110000100011000…
…0001110010111110100
3201022102110001122102100
42330020300032113310
511302204120304140
6232445142142100
720411001260214
oct2741060162764
9638373048370
10202010322420
1178743619195
1233198a21930
131608496ba7a
149ac50a6244
1553c4bc5530
hex2f08c0e5f4

202010322420 has 144 divisors (see below), whose sum is σ = 618314231808. Its totient is φ = 53382551040.

The previous prime is 202010322419. The next prime is 202010322457. The reversal of 202010322420 is 24223010202.

202010322420 is a `hidden beast` number, since 20 + 201 + 0 + 3 + 22 + 420 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 202010322393 and 202010322402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21415105 + ... + 21424535.

It is an arithmetic number, because the mean of its divisors is an integer number (4293848832).

Almost surely, 2202010322420 is an apocalyptic number.

202010322420 is a gapful number since it is divisible by the number (20) 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 202010322420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309157115904).

202010322420 is an abundant number, since it is smaller than the sum of its proper divisors (416303909388).

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

202010322420 is a wasteful number, since it uses less digits than its factorization.

202010322420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10510 (or 10505 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 202010322420 its reverse (24223010202), we get a palindrome (226233332622).

The spelling of 202010322420 in words is "two hundred two billion, ten million, three hundred twenty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 127 180 254 381 508 635 762 937 1143 1270 1524 1874 1905 2286 2540 2811 3748 3810 4572 4685 5622 5715 7620 8433 9370 9431 11244 11430 14055 16866 18740 18862 22860 28110 28293 33732 37724 42165 47155 56220 56586 84330 84879 94310 113172 118999 141465 168660 169758 188620 237998 282930 339516 356997 424395 475996 565860 594995 713994 848790 1070991 1189990 1197737 1427988 1697580 1784985 2141982 2379980 2395474 3569970 3593211 4283964 4790948 5354955 5988685 7139940 7186422 8836847 10709910 10779633 11977370 14372844 17673694 17966055 21419820 21559266 23954740 26510541 35347388 35932110 43118532 44184235 53021082 53898165 71864220 79531623 88368470 106042164 107796330 132552705 159063246 176736940 215592660 265105410 318126492 397658115 530210820 795316230 1122279569 1590632460 2244559138 3366838707 4489118276 5611397845 6733677414 10100516121 11222795690 13467354828 16834193535 20201032242 22445591380 33668387070 40402064484 50502580605 67336774140 101005161210 202010322420