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23151430321400 = 2352716472519911
BaseRepresentation
bin1010100001110010111001…
…10001111100010011111000
310000222020212222121011002002
411100321130301330103320
511013303112130241100
6121123341551000132
74606431011540333
oct520713461742370
9100866788534062
1023151430321400
117416514950567
12271aa9b209048
13cbc22a7c9bc4
145a076c86b61a
152a234da3d2d5
hex150e5cc7c4f8

23151430321400 has 96 divisors (see below), whose sum is σ = 54669591636480. Its totient is φ = 9116026416000.

The previous prime is 23151430321381. The next prime is 23151430321417. The reversal of 23151430321400 is 412303415132.

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 23 ways as a sum of consecutive naturals, for example, 7927445 + ... + 10447355.

It is an arithmetic number, because the mean of its divisors is an integer number (569474912880).

Almost surely, 223151430321400 is an apocalyptic number.

23151430321400 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 23151430321400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27334795818240).

23151430321400 is an abundant number, since it is smaller than the sum of its proper divisors (31518161315080).

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

23151430321400 is a wasteful number, since it uses less digits than its factorization.

23151430321400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2520645 (or 2520636 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

Adding to 23151430321400 its reverse (412303415132), we get a palindrome (23563733736532).

The spelling of 23151430321400 in words is "twenty-three trillion, one hundred fifty-one billion, four hundred thirty million, three hundred twenty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 71 100 142 200 284 355 568 647 710 1294 1420 1775 2588 2840 3235 3550 5176 6470 7100 12940 14200 16175 25880 32350 45937 64700 91874 129400 183748 229685 367496 459370 918740 1148425 1837480 2296850 2519911 4593700 5039822 9187400 10079644 12599555 20159288 25199110 50398220 62997775 100796440 125995550 178913681 251991100 357827362 503982200 715654724 894568405 1431309448 1630382417 1789136810 3260764834 3578273620 4472842025 6521529668 7156547240 8151912085 8945684050 13043059336 16303824170 17891368100 32607648340 35782736200 40759560425 65215296680 81519120850 115757151607 163038241700 231514303214 326076483400 463028606428 578785758035 926057212856 1157571516070 2315143032140 2893928790175 4630286064280 5787857580350 11575715160700 23151430321400