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153214125030 = 232517313230321
BaseRepresentation
bin1000111010110001000…
…1100000001111100110
3112122110202101222112100
42032230101200033212
510002240304000110
6154215142232530
714032534401111
oct2165421401746
9478422358470
10153214125030
1159a8341992a
122583b125746
13115a94252a5
1475b65b5578
153ebad6cbc0
hex23ac4603e6

153214125030 has 96 divisors (see below), whose sum is σ = 435395720448. Its totient is φ = 37213286400.

The previous prime is 153214125017. The next prime is 153214125049. The reversal of 153214125030 is 30521412351.

153214125030 is a `hidden beast` number, since 1 + 532 + 1 + 4 + 125 + 0 + 3 + 0 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 153214124985 and 153214125003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1567731 + ... + 1662590.

It is an arithmetic number, because the mean of its divisors is an integer number (4535372088).

Almost surely, 2153214125030 is an apocalyptic number.

153214125030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

153214125030 is an abundant number, since it is smaller than the sum of its proper divisors (282181595418).

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

153214125030 is a wasteful number, since it uses less digits than its factorization.

153214125030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3230382 (or 3230379 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 153214125030 its reverse (30521412351), we get a palindrome (183735537381).

The spelling of 153214125030 in words is "one hundred fifty-three billion, two hundred fourteen million, one hundred twenty-five thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 31 34 45 51 62 85 90 93 102 153 155 170 186 255 279 306 310 465 510 527 558 765 930 1054 1395 1530 1581 2635 2790 3162 4743 5270 7905 9486 15810 23715 47430 3230321 6460642 9690963 16151605 19381926 29072889 32303210 48454815 54915457 58145778 96909630 100139951 109830914 145364445 164746371 200279902 274577285 290728890 300419853 329492742 494239113 500699755 549154570 600839706 823731855 901259559 988478226 1001399510 1502099265 1647463710 1702379167 1802519118 2471195565 3004198530 3404758334 4506297795 4942391130 5107137501 8511895835 9012595590 10214275002 15321412503 17023791670 25535687505 30642825006 51071375010 76607062515 153214125030