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125343422100 = 2232521310713113
BaseRepresentation
bin111010010111100001…
…1001101011010010100
3102222112101202120121200
41310233003031122110
54023200404001400
6133325412312500
712025061336331
oct1645703153224
9388471676550
10125343422100
1149181104246
1220361312730
13ba872380b0
1460d0c81988
1533d9146b00
hex1d2f0cd694

125343422100 has 108 divisors (see below), whose sum is σ = 423103724316. Its totient is φ = 30853762560.

The previous prime is 125343422077. The next prime is 125343422131. The reversal of 125343422100 is 1224343521.

125343422100 is a `hidden beast` number, since 1 + 2 + 5 + 3 + 434 + 221 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1328165136 + 124015256964 = 36444^2 + 352158^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5344857 + ... + 5368256.

It is an arithmetic number, because the mean of its divisors is an integer number (3917627077).

Almost surely, 2125343422100 is an apocalyptic number.

125343422100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125343422100 is an abundant number, since it is smaller than the sum of its proper divisors (297760302216).

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

125343422100 is a wasteful number, since it uses less digits than its factorization.

125343422100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10713146 (or 10713136 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 125343422100 its reverse (1224343521), we get a palindrome (126567765621).

The spelling of 125343422100 in words is "one hundred twenty-five billion, three hundred forty-three million, four hundred twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 25 26 30 36 39 45 50 52 60 65 75 78 90 100 117 130 150 156 180 195 225 234 260 300 325 390 450 468 585 650 780 900 975 1170 1300 1950 2340 2925 3900 5850 11700 10713113 21426226 32139339 42852452 53565565 64278678 96418017 107131130 128557356 139270469 160696695 192836034 214262260 267827825 278540938 321393390 385672068 417811407 482090085 535655650 557081876 642786780 696352345 803483475 835622814 964180170 1071311300 1253434221 1392704690 1606966950 1671245628 1928360340 2089057035 2410450425 2506868442 2785409380 3213933900 3481761725 4178114070 4820900850 5013736884 6267171105 6963523450 8356228140 9641801700 10445285175 12534342210 13927046900 20890570350 25068684420 31335855525 41781140700 62671711050 125343422100