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23120213333100 = 22352138966609661
BaseRepresentation
bin1010100000111000110000…
…00110100101010001101100
310000212021022102022211121020
411100130120012211101230
511012300144103124400
6121101140202334140
74604244303526542
oct520343006452154
9100767272284536
1023120213333100
117404255758184
122714a287ba350
13cb92c4272cb0
1459d04a94dd92
152a16231702a0
hex1507181a546c

23120213333100 has 144 divisors (see below), whose sum is σ = 72849655136160. Its totient is φ = 5627184076800.

The previous prime is 23120213333081. The next prime is 23120213333101. The reversal of 23120213333100 is 133331202132.

It is a super-2 number, since 2×231202133331002 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (23120213333101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32957731 + ... + 33651930.

It is an arithmetic number, because the mean of its divisors is an integer number (505900382890).

Almost surely, 223120213333100 is an apocalyptic number.

23120213333100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23120213333100 is an abundant number, since it is smaller than the sum of its proper divisors (49729441803060).

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

23120213333100 is a wasteful number, since it uses less digits than its factorization.

23120213333100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66609780 (or 66609773 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 23120213333100 its reverse (133331202132), we get a palindrome (23253544535232).

The spelling of 23120213333100 in words is "twenty-three trillion, one hundred twenty billion, two hundred thirteen million, three hundred thirty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 89 100 130 150 156 178 195 260 267 300 325 356 390 445 534 650 780 890 975 1068 1157 1300 1335 1780 1950 2225 2314 2670 3471 3900 4450 4628 5340 5785 6675 6942 8900 11570 13350 13884 17355 23140 26700 28925 34710 57850 69420 86775 115700 173550 347100 66609661 133219322 199828983 266438644 333048305 399657966 666096610 799315932 865925593 999144915 1332193220 1665241525 1731851186 1998289830 2597776779 3330483050 3463702372 3996579660 4329627965 4995724575 5195553558 5928259829 6660966100 8659255930 9991449150 10391107116 11856519658 12988883895 17318511860 17784779487 19982898300 21648139825 23713039316 25977767790 29641299145 35569558974 43296279650 51955535580 59282598290 64944419475 71139117948 77067377777 86592559300 88923897435 118565196580 129888838950 148206495725 154134755554 177847794870 231202133331 259777677900 296412991450 308269511108 355695589740 385336888885 444619487175 462404266662 592825982900 770673777770 889238974350 924808533324 1156010666655 1541347555540 1778477948700 1926684444425 2312021333310 3853368888850 4624042666620 5780053333275 7706737777700 11560106666550 23120213333100