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1023112252240 = 2451331101331327
BaseRepresentation
bin11101110001101100011…
…11100000101101010000
310121210211110012111012021
432320312033200231100
5113230313214032430
62102002234141224
7133626450440431
oct16706617405520
93553743174167
101023112252240
11364999215101
12146352281814
137562c69b240
1437739bd5488
151b93084b07a
hexee363e0b50

1023112252240 has 160 divisors (see below), whose sum is σ = 2647046578176. Its totient is φ = 365206026240.

The previous prime is 1023112252231. The next prime is 1023112252259. The reversal of 1023112252240 is 422522113201.

1023112252240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 32643457 + ... + 32674783.

Almost surely, 21023112252240 is an apocalyptic number.

1023112252240 is a gapful number since it is divisible by the number (10) 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 1023112252240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1323523289088).

1023112252240 is an abundant number, since it is smaller than the sum of its proper divisors (1623934325936).

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

1023112252240 is a wasteful number, since it uses less digits than its factorization.

1023112252240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32397 (or 32391 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 1023112252240 its reverse (422522113201), we get a palindrome (1445634365441).

The spelling of 1023112252240 in words is "one trillion, twenty-three billion, one hundred twelve million, two hundred fifty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 31 40 52 62 65 80 104 124 130 155 208 248 260 310 403 496 520 620 806 1013 1040 1240 1612 2015 2026 2480 3224 4030 4052 5065 6448 8060 8104 10130 13169 16120 16208 20260 26338 31327 31403 32240 40520 52676 62654 62806 65845 81040 105352 125308 125612 131690 156635 157015 210704 250616 251224 263380 313270 314030 407251 408239 501232 502448 526760 626540 628060 814502 816478 971137 1053520 1253080 1256120 1629004 1632956 1942274 2036255 2041195 2506160 2512240 3258008 3265912 3884548 4072510 4082390 4855685 6516016 6531824 7769096 8145020 8164780 9711370 12624781 15538192 16290040 16329560 19422740 25249562 31734251 32580080 32659120 38845480 50499124 63123905 63468502 77690960 100998248 126247810 126937004 158671255 201996496 252495620 253874008 317342510 412545263 504991240 507748016 634685020 825090526 983761781 1009982480 1269370040 1650181052 1967523562 2062726315 2538740080 3300362104 3935047124 4125452630 4918808905 6600724208 7870094248 8250905260 9837617810 12788903153 15740188496 16501810520 19675235620 25577806306 33003621040 39350471240 51155612612 63944515765 78700942480 102311225224 127889031530 204622450448 255778063060 511556126120 1023112252240