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1003030230032 = 243137411936907
BaseRepresentation
bin11101001100010010100…
…00101011010000010000
310112212222220100001121222
432212021100223100100
5112413201214330112
62044441414504212
7132316011165635
oct16461120532020
93485886301558
101003030230032
11357423463636
12142488965068
137377c00596c
1436792a7c18c
151b1577cc372
hexe98942b410

1003030230032 has 160 divisors (see below), whose sum is σ = 2121771531264. Its totient is φ = 458249011200.

The previous prime is 1003030230011. The next prime is 1003030230053. The reversal of 1003030230032 is 2300320303001.

It is an interprime number because it is at equal distance from previous prime (1003030230011) and next prime (1003030230053).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 145215923 + ... + 145222829.

Almost surely, 21003030230032 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 1003030230032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1060885765632).

1003030230032 is an abundant number, since it is smaller than the sum of its proper divisors (1118741301232).

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

1003030230032 is a wasteful number, since it uses less digits than its factorization.

1003030230032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7217 (or 7211 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 17.

Adding to 1003030230032 its reverse (2300320303001), we get a palindrome (3303350533033).

The spelling of 1003030230032 in words is "one trillion, three billion, thirty million, two hundred thirty thousand, thirty-two".

Divisors: 1 2 4 8 16 31 37 41 62 74 82 124 148 164 193 248 296 328 386 496 592 656 772 1147 1271 1517 1544 2294 2542 3034 3088 4588 5084 5983 6068 6907 7141 7913 9176 10168 11966 12136 13814 14282 15826 18352 20336 23932 24272 27628 28564 31652 47027 47864 55256 57128 63304 94054 95728 110512 114256 126608 188108 214117 221371 245303 255559 283187 292781 376216 428234 442742 490606 511118 566374 585562 752432 856468 885484 981212 1022236 1132748 1171124 1333051 1712936 1770968 1962424 2044472 2265496 2342248 2666102 3425872 3541936 3924848 4088944 4530992 4684496 5332204 7922329 8778797 9076211 10477919 10664408 15844658 17557594 18152422 20955838 21328816 31689316 35115188 36304844 41324581 41911676 49322887 54655091 63378632 70230376 72609688 82649162 83823352 98645774 109310182 126757264 140460752 145219376 165298324 167646704 197291548 218620364 324815489 330596648 394583096 437240728 649630978 661193296 789166192 874481456 1299261956 1529009497 1694307821 2022238367 2598523912 3058018994 3388615642 4044476734 5197047824 6116037988 6777231284 8088953468 12232075976 13554462568 16177906936 24464151952 27108925136 32355813872 62689389377 125378778754 250757557508 501515115016 1003030230032