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133001022420224 = 287142951937943
BaseRepresentation
bin11110001111011010110110…
…101100100011010100000000
3122102220202212221010220002122
4132033122312230203110000
5114413042043214421344
61150511454243303412
740005002215325540
oct3617326654432400
9572822787126078
10133001022420224
11394184649103a2
1212b005a537ab68
135929c33b7216a
1424bb3d8b9b320
1510599dd94baee
hex78f6b6b23500

133001022420224 has 72 divisors (see below), whose sum is σ = 303620910552960. Its totient is φ = 56960548743168.

The previous prime is 133001022420199. The next prime is 133001022420263. The reversal of 133001022420224 is 422024220100331.

It is a super-2 number, since 2×1330010224202242 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 133001022420193 and 133001022420202.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 23408204 + ... + 28529739.

Almost surely, 2133001022420224 is an apocalyptic number.

133001022420224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

133001022420224 is an abundant number, since it is smaller than the sum of its proper divisors (170619888132736).

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

133001022420224 is an equidigital number, since it uses as much as digits as its factorization.

133001022420224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51939395 (or 51939381 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 133001022420224 its reverse (422024220100331), we get a palindrome (555025242520555).

The spelling of 133001022420224 in words is "one hundred thirty-three trillion, one billion, twenty-two million, four hundred twenty thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 896 1429 1792 2858 5716 10003 11432 20006 22864 40012 45728 80024 91456 160048 182912 320096 365824 640192 1280384 2560768 51937943 103875886 207751772 363565601 415503544 727131202 831007088 1454262404 1662014176 2908524808 3324028352 5817049616 6648056704 11634099232 13296113408 23268198464 46536396928 74219320547 93072793856 148438641094 296877282188 519535243829 593754564376 1039070487658 1187509128752 2078140975316 2375018257504 4156281950632 4750036515008 8312563901264 9500073030016 16625127802528 19000146060032 33250255605056 66500511210112 133001022420224