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202022031312 = 2436127136379
BaseRepresentation
bin1011110000100101110…
…0111000111111010000
3201022110021002112000000
42330021130320333100
511302220120000222
6232450241130000
720411202635013
oct2741134707720
9638407075000
10202022031312
117874a196262
12331a0929900
131608720b3ca
149ac687337a
1553c5c399ac
hex2f09738fd0

202022031312 has 140 divisors (see below), whose sum is σ = 591483333120. Its totient is φ = 66809945664.

The previous prime is 202022031287. The next prime is 202022031383. The reversal of 202022031312 is 213130220202.

It is a super-2 number, since 2×2020220313122 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1413139 + ... + 1549517.

Almost surely, 2202022031312 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 202022031312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295741666560).

202022031312 is an abundant number, since it is smaller than the sum of its proper divisors (389461301808).

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

202022031312 is a wasteful number, since it uses less digits than its factorization.

202022031312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136532 (or 136511 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 202022031312 its reverse (213130220202), we get a palindrome (415152251514).

The spelling of 202022031312 in words is "two hundred two billion, twenty-two million, thirty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 127 144 162 216 243 254 324 381 432 486 508 648 729 762 972 1016 1143 1296 1458 1524 1944 2032 2286 2916 3048 3429 3888 4572 5832 6096 6858 9144 10287 11664 13716 18288 20574 27432 30861 41148 54864 61722 82296 92583 123444 136379 164592 185166 246888 272758 370332 409137 493776 545516 740664 818274 1091032 1227411 1481328 1636548 2182064 2454822 3273096 3682233 4909644 6546192 7364466 9819288 11046699 14728932 17320133 19638576 22093398 29457864 33140097 34640266 44186796 51960399 58915728 66280194 69280532 88373592 99420291 103920798 132560388 138561064 155881197 176747184 198840582 207841596 265120776 277122128 311762394 397681164 415683192 467643591 530241552 623524788 795362328 831366384 935287182 1247049576 1402930773 1590724656 1870574364 2494099152 2805861546 3741148728 4208792319 5611723092 7482297456 8417584638 11223446184 12626376957 16835169276 22446892368 25252753914 33670338552 50505507828 67340677104 101011015656 202022031312