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10031202324 = 2235111372169
BaseRepresentation
bin10010101011110100…
…00000000000010100
3221220002110212200000
421111322000000110
5131020441433244
64335215251300
7503403545553
oct112572000024
927802425600
1010031202324
114288396860
121b3b519b30
13c3b2c37a0
146b2365d9a
153da9c3169
hex255e80014

10031202324 has 144 divisors (see below), whose sum is σ = 30893378880. Its totient is φ = 2805891840.

The previous prime is 10031202287. The next prime is 10031202331. The reversal of 10031202324 is 42320213001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10031202297 and 10031202306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102912 + ... + 175080.

Almost surely, 210031202324 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 10031202324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15446689440).

10031202324 is an abundant number, since it is smaller than the sum of its proper divisors (20862176556).

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

10031202324 is a wasteful number, since it uses less digits than its factorization.

10031202324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72212 (or 72198 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10031202324 its reverse (42320213001), we get a palindrome (52351415325).

The spelling of 10031202324 in words is "ten billion, thirty-one million, two hundred two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 27 33 36 39 44 52 54 66 78 81 99 108 117 132 143 156 162 198 234 243 286 297 324 351 396 429 468 486 572 594 702 858 891 972 1053 1188 1287 1404 1716 1782 2106 2574 2673 3159 3564 3861 4212 5148 5346 6318 7722 10692 11583 12636 15444 23166 34749 46332 69498 72169 138996 144338 216507 288676 433014 649521 793859 866028 938197 1299042 1587718 1876394 1948563 2381577 2598084 2814591 3175436 3752788 3897126 4763154 5629182 5845689 7144731 7794252 8443773 9526308 10320167 11258364 11691378 14289462 16887546 17537067 20640334 21434193 23382756 25331319 28578924 30960501 33775092 35074134 41280668 42868386 50662638 61921002 64302579 70148268 75993957 85736772 92881503 101325276 123842004 128605158 151987914 185763006 192907737 227981871 257210316 278644509 303975828 371526012 385815474 455963742 557289018 771630948 835933527 911927484 1114578036 1671867054 2507800581 3343734108 5015601162 10031202324