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10332002142 = 234711978539
BaseRepresentation
bin10011001111101010…
…11101011101011110
3222200001111002110000
421213311131131132
5132124443032032
64425122355130
7514015366140
oct114765353536
928601432400
1010332002142
114422167150
1220041bbaa6
13c88711647
147002a6c90
154070dde7c
hex267d5d75e

10332002142 has 160 divisors (see below), whose sum is σ = 29164988160. Its totient is φ = 2655659520.

The previous prime is 10332002119. The next prime is 10332002143. The reversal of 10332002142 is 24120023301.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10332002143) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1205709 + ... + 1214247.

It is an arithmetic number, because the mean of its divisors is an integer number (182281176).

Almost surely, 210332002142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10332002142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14582494080).

10332002142 is an abundant number, since it is smaller than the sum of its proper divisors (18832986018).

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

10332002142 is a wasteful number, since it uses less digits than its factorization.

10332002142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8668 (or 8659 counting only the distinct ones).

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

Adding to 10332002142 its reverse (24120023301), we get a palindrome (34452025443).

The spelling of 10332002142 in words is "ten billion, three hundred thirty-two million, two thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 81 97 99 126 154 162 189 194 198 231 291 297 378 462 567 582 594 679 693 873 891 1067 1134 1358 1386 1746 1782 2037 2079 2134 2619 3201 4074 4158 5238 6111 6237 6402 7469 7857 8539 9603 12222 12474 14938 15714 17078 18333 19206 22407 25617 28809 36666 44814 51234 54999 57618 59773 67221 76851 86427 93929 109998 119546 134442 153702 172854 179319 187858 201663 230553 281787 358638 403326 461106 537957 563574 604989 657503 691659 828283 845361 1075914 1209978 1315006 1383318 1613871 1656566 1690722 1972509 2484849 2536083 3227742 3945018 4841613 4969698 5072166 5797981 5917527 7454547 7608249 9111113 9683226 11595962 11835054 14909094 15216498 17393943 17752581 18222226 22363641 27333339 34787886 35505162 44727282 52181829 53257743 54666678 63777791 67090923 82000017 104363658 106515486 127555582 134181846 156545487 164000034 191333373 246000051 313090974 382666746 469636461 492000102 574000119 738000153 939272922 1148000238 1476000306 1722000357 3444000714 5166001071 10332002142