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1230131000 = 23537473739
BaseRepresentation
bin100100101010010…
…0100111100111000
310011201201010111102
41021110210330320
510004403143000
6322021550532
742324640520
oct11124447470
93151633442
101230131000
1158141669a
122a3b75448
13167b13c87
14b9534680
1572edd3d5
hex49524f38

1230131000 has 128 divisors (see below), whose sum is σ = 3360614400. Its totient is φ = 412675200.

The previous prime is 1230130973. The next prime is 1230131009. The reversal of 1230131000 is 1310321.

It is a super-2 number, since 2×12301310002 = 3026444554322000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1230131009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 327131 + ... + 330869.

It is an arithmetic number, because the mean of its divisors is an integer number (26254800).

Almost surely, 21230131000 is an apocalyptic number.

1230131000 is a gapful number since it is divisible by the number (10) 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 1230131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1680307200).

1230131000 is an abundant number, since it is smaller than the sum of its proper divisors (2130483400).

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

1230131000 is a wasteful number, since it uses less digits than its factorization.

1230131000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3814 (or 3800 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 1230131000 is about 35073.2234047571. The cubic root of 1230131000 is about 1071.4793059574.

Adding to 1230131000 its reverse (1310321), we get a palindrome (1231441321).

The spelling of 1230131000 in words is "one billion, two hundred thirty million, one hundred thirty-one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 47 50 56 70 94 100 125 140 175 188 200 235 250 280 329 350 376 470 500 658 700 875 940 1000 1175 1316 1400 1645 1750 1880 2350 2632 3290 3500 3739 4700 5875 6580 7000 7478 8225 9400 11750 13160 14956 16450 18695 23500 26173 29912 32900 37390 41125 47000 52346 65800 74780 82250 93475 104692 130865 149560 164500 175733 186950 209384 261730 329000 351466 373900 467375 523460 654325 702932 747800 878665 934750 1046920 1230131 1308650 1405864 1757330 1869500 2460262 2617300 3271625 3514660 3739000 4393325 4920524 5234600 6150655 6543250 7029320 8786650 9841048 12301310 13086500 17573300 21966625 24602620 26173000 30753275 35146600 43933250 49205240 61506550 87866500 123013100 153766375 175733000 246026200 307532750 615065500 1230131000