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9341142100 = 225237103127193
BaseRepresentation
bin10001011001100011…
…01000010001010100
3220010000000011222221
420230301220101110
5123112313021400
64142525032124
7450324253303
oct105461502124
926100004887
109341142100
113a63916354
1219883b5644
13b5b354724
1464885843a
1539a115c1a
hex22cc68454

9341142100 has 144 divisors (see below), whose sum is σ = 21295525888. Its totient is φ = 3553320960.

The previous prime is 9341142091. The next prime is 9341142131. The reversal of 9341142100 is 12411439.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48399604 + ... + 48399796.

Almost surely, 29341142100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9341142100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10647762944).

9341142100 is an abundant number, since it is smaller than the sum of its proper divisors (11954383788).

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

9341142100 is a wasteful number, since it uses less digits than its factorization.

9341142100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 9341142100 is about 96649.5840653233. The cubic root of 9341142100 is about 2106.0402138528.

Adding to 9341142100 its reverse (12411439), we get a palindrome (9353553539).

The spelling of 9341142100 in words is "nine billion, three hundred forty-one million, one hundred forty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 103 127 148 185 193 206 254 370 386 412 508 515 635 740 772 925 965 1030 1270 1850 1930 2060 2540 2575 3175 3700 3811 3860 4699 4825 5150 6350 7141 7622 9398 9650 10300 12700 13081 14282 15244 18796 19055 19300 19879 23495 24511 26162 28564 35705 38110 39758 46990 49022 52324 65405 71410 76220 79516 93980 95275 98044 99395 117475 122555 130810 142820 178525 190550 198790 234950 245110 261620 327025 357050 381100 397580 469900 483997 490220 496975 612775 654050 714100 735523 906907 967994 993950 1225550 1308100 1471046 1813814 1935988 1987900 2419985 2451100 2524633 2942092 3627628 3677615 4534535 4839970 5049266 7355230 9069070 9679940 10098532 12099925 12623165 14710460 18138140 18388075 22672675 24199850 25246330 36776150 45345350 48399700 50492660 63115825 73552300 90690700 93411421 126231650 186822842 252463300 373645684 467057105 934114210 1868228420 2335285525 4670571050 9341142100