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10030232400 = 2435247177841
BaseRepresentation
bin10010101011101100…
…10011001101010000
3221220000122121011220
421111312103031100
5131020214414100
64335142405040
7503362366026
oct112566231520
927800577156
1010030232400
114287894071
121b3b130780
13c3b044176
146b2192716
153da880aa0
hex255d93350

10030232400 has 120 divisors (see below), whose sum is σ = 32813983104. Its totient is φ = 2617804800.

The previous prime is 10030232389. The next prime is 10030232413. The reversal of 10030232400 is 423203001.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10030232400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32521 + ... + 145320.

Almost surely, 210030232400 is an apocalyptic number.

10030232400 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 10030232400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16406991552).

10030232400 is an abundant number, since it is smaller than the sum of its proper divisors (22783750704).

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

10030232400 is a wasteful number, since it uses less digits than its factorization.

10030232400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177909 (or 177898 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 10030232400 its reverse (423203001), we get a palindrome (10453435401).

The spelling of 10030232400 in words is "ten billion, thirty million, two hundred thirty-two thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 47 48 50 60 75 80 94 100 120 141 150 188 200 235 240 282 300 376 400 470 564 600 705 752 940 1128 1175 1200 1410 1880 2256 2350 2820 3525 3760 4700 5640 7050 9400 11280 14100 18800 28200 56400 177841 355682 533523 711364 889205 1067046 1422728 1778410 2134092 2667615 2845456 3556820 4268184 4446025 5335230 7113640 8358527 8536368 8892050 10670460 13338075 14227280 16717054 17784100 21340920 25075581 26676150 33434108 35568200 41792635 42681840 50151162 53352300 66868216 71136400 83585270 100302324 106704600 125377905 133736432 167170540 200604648 208963175 213409200 250755810 334341080 401209296 417926350 501511620 626889525 668682160 835852700 1003023240 1253779050 1671705400 2006046480 2507558100 3343410800 5015116200 10030232400