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213222031132040 = 235716371819925561
BaseRepresentation
bin110000011110110010011111…
…011011001000010110001000
31000221221211022221212201221122
4300132302133123020112020
5210421412204432211130
62033252503203454412
762624532462503660
oct6036623733102610
91027854287781848
10213222031132040
1161a36a56983887
121bab7a36987408
1391c899c698768
143a92003a931a0
15199b5dadc82e5
hexc1ec9f6c8588

213222031132040 has 128 divisors (see below), whose sum is σ = 548671765824000. Its totient is φ = 73053166049280.

The previous prime is 213222031132037. The next prime is 213222031132051. The reversal of 213222031132040 is 40231130222312.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8341680860 + ... + 8341706420.

It is an arithmetic number, because the mean of its divisors is an integer number (4286498170500).

Almost surely, 2213222031132040 is an apocalyptic number.

213222031132040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213222031132040 is an abundant number, since it is smaller than the sum of its proper divisors (335449734691960).

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

213222031132040 is a wasteful number, since it uses less digits than its factorization.

213222031132040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45415 (or 45411 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 213222031132040 its reverse (40231130222312), we get a palindrome (253453161354352).

The spelling of 213222031132040 in words is "two hundred thirteen trillion, two hundred twenty-two billion, thirty-one million, one hundred thirty-two thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 1637 3274 6548 8185 11459 13096 16370 18199 22918 25561 32740 36398 45836 51122 57295 65480 72796 90995 91672 102244 114590 127393 127805 145592 178927 181990 204488 229180 254786 255610 357854 363980 458360 509572 511220 636965 715708 727960 894635 1019144 1022440 1273930 1431416 1789270 2547860 3578540 5095720 7157080 29791763 41843357 59583526 83686714 119167052 148958815 167373428 208542341 209216785 238334104 292903499 297917630 334746856 417084682 418433570 465184639 585806998 595835260 834169364 836867140 930369278 1042711705 1171613996 1191670520 1464517495 1668338728 1673734280 1860738556 2085423410 2325923195 2343227992 2929034990 3256292473 3721477112 4170846820 4651846390 5858069980 6512584946 8341693640 9303692780 11716139960 13025169892 16281462365 18607385560 26050339784 32562924730 65125849460 130251698920 761507254043 1523014508086 3046029016172 3807536270215 5330550778301 6092058032344 7615072540430 10661101556602 15230145080860 21322203113204 26652753891505 30460290161720 42644406226408 53305507783010 106611015566020 213222031132040