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1002133132 = 2271121361373
BaseRepresentation
bin111011101110110…
…101011010001100
32120211200122012221
4323232311122030
54023021230012
6243235105124
733555663640
oct7356653214
92524618187
101002133132
11474750500
1223b7421a4
1312c8060b0
1497144c20
155cea3507
hex3bbb568c

1002133132 has 144 divisors (see below), whose sum is σ = 2417859136. Its totient is φ = 353548800.

The previous prime is 1002133127. The next prime is 1002133133. The reversal of 1002133132 is 2313312001.

It is not an unprimeable number, because it can be changed into a prime (1002133133) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2686498 + ... + 2686870.

Almost surely, 21002133132 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 1002133132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1208929568).

1002133132 is an abundant number, since it is smaller than the sum of its proper divisors (1415726004).

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

1002133132 is a wasteful number, since it uses less digits than its factorization.

1002133132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 1002133132 is about 31656.4864127401. The cubic root of 1002133132 is about 1000.7105390147.

Adding to 1002133132 its reverse (2313312001), we get a palindrome (3315445133).

The spelling of 1002133132 in words is "one billion, two million, one hundred thirty-three thousand, one hundred thirty-two".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 61 77 91 121 122 143 154 182 242 244 286 308 364 373 427 484 572 671 746 793 847 854 1001 1342 1492 1573 1586 1694 1708 2002 2611 2684 3146 3172 3388 4004 4103 4697 4849 5222 5551 6292 7381 8206 8723 9394 9698 10444 11011 11102 14762 16412 17446 18788 19396 22022 22204 22753 28721 29524 33943 34892 44044 45133 45506 51667 53339 57442 61061 67886 90266 91012 95953 103334 106678 114884 122122 135772 159271 180532 191906 206668 213356 244244 250283 295789 315931 318542 373373 383812 500566 586729 591578 631862 637084 671671 746746 1001132 1173458 1183156 1263724 1343342 1493492 1751981 2070523 2346916 2686684 2753113 3253679 3503962 4107103 4141046 5506226 6507358 7007924 8214206 8282092 11012452 13014716 16428412 19271791 22775753 35790469 38543582 45551506 71580938 77087164 91103012 143161876 250533283 501066566 1002133132