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23151203250400 = 2552198627176551
BaseRepresentation
bin1010100001110010011110…
…01111101111000011100000
310000222020022011022202020001
411100321033033233003200
511013302131013003100
6121123303240025344
74606422253503631
oct520711717570340
9100866264282201
1023151203250400
117416408758785
12271aa37162254
13cbc1c2754b74
145a074a63d888
152a2338b37d6a
hex150e4f3ef0e0

23151203250400 has 144 divisors (see below), whose sum is σ = 59499733023360. Its totient is φ = 8772020928000.

The previous prime is 23151203250397. The next prime is 23151203250401. The reversal of 23151203250400 is 405230215132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23151203250401) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 131042125 + ... + 131218675.

It is an arithmetic number, because the mean of its divisors is an integer number (413192590440).

Almost surely, 223151203250400 is an apocalyptic number.

23151203250400 is a gapful number since it is divisible by the number (20) 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 23151203250400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29749866511680).

23151203250400 is an abundant number, since it is smaller than the sum of its proper divisors (36348529772960).

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

23151203250400 is a wasteful number, since it uses less digits than its factorization.

23151203250400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185217 (or 185204 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

Adding to 23151203250400 its reverse (405230215132), we get a palindrome (23556433465532).

The spelling of 23151203250400 in words is "twenty-three trillion, one hundred fifty-one billion, two hundred three million, two hundred fifty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 76 80 95 100 152 160 190 200 304 380 400 475 608 760 800 950 1520 1900 3040 3800 7600 8627 15200 17254 34508 43135 69016 86270 138032 163913 172540 176551 215675 276064 327826 345080 353102 431350 655652 690160 706204 819565 862700 882755 1311304 1380320 1412408 1639130 1725400 1765510 2622608 2824816 3278260 3354469 3450800 3531020 4097825 4413775 5245216 5649632 6556520 6708938 6901600 7062040 8195650 8827550 13113040 13417876 14124080 16391300 16772345 17655100 26226080 26835752 28248160 32782600 33544690 35310200 53671504 65565200 67089380 70620400 83861725 107343008 131130400 134178760 141240800 167723450 268357520 335446900 536715040 670893800 1341787600 1523105477 2683575200 3046210954 6092421908 7615527385 12184843816 15231054770 24369687632 28939004063 30462109540 38077636925 48739375264 57878008126 60924219080 76155273850 115756016252 121848438160 144695020315 152310547700 231512032504 243696876320 289390040630 304621095400 463024065008 578780081260 609242190800 723475101575 926048130016 1157560162520 1218484381600 1446950203150 2315120325040 2893900406300 4630240650080 5787800812600 11575601625200 23151203250400