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1002230023002 = 2313315310977129
BaseRepresentation
bin11101001010110011001…
…00001000001101011010
310112210221010121022221120
432211121210020031122
5112410031341214002
62044230151350110
7132260123430555
oct16453144101532
93483833538846
101002230023002
113570527a120a
121422a4982336
13736822ac790
143671869b69c
151b10c413cbc
hexe95990835a

1002230023002 has 128 divisors (see below), whose sum is σ = 2272714536960. Its totient is φ = 292492062720.

The previous prime is 1002230022967. The next prime is 1002230023009. The reversal of 1002230023002 is 2003200322001.

It is not an unprimeable number, because it can be changed into a prime (1002230023009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 140581374 + ... + 140588502.

It is an arithmetic number, because the mean of its divisors is an integer number (17755582320).

Almost surely, 21002230023002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002230023002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1136357268480).

1002230023002 is an abundant number, since it is smaller than the sum of its proper divisors (1270484513958).

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

1002230023002 is a wasteful number, since it uses less digits than its factorization.

1002230023002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8328.

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 1002230023002 its reverse (2003200322001), we get a palindrome (3005430345003).

The spelling of 1002230023002 in words is "one trillion, two billion, two hundred thirty million, twenty-three thousand, two".

Divisors: 1 2 3 6 13 26 31 39 53 62 78 93 106 159 186 318 403 689 806 1097 1209 1378 1643 2067 2194 2418 3286 3291 4134 4929 6582 7129 9858 14258 14261 21359 21387 28522 34007 42718 42774 42783 58141 64077 68014 85566 92677 102021 116282 128154 174423 185354 204042 220999 278031 348846 377837 441998 442091 556062 662997 755674 755833 884182 1133511 1325994 1326273 1511666 1802371 2267022 2267499 2652546 2872987 3604742 4534998 4911881 5407113 5745974 7820513 8618961 9823762 10814226 11712947 14735643 15641026 17237922 23425894 23430823 23461539 29471286 35138841 46861646 46923078 70277682 70292469 101666669 140584938 152268311 203333338 242435903 304536622 305000007 414487189 456804933 484871806 610000014 727307709 828974378 913609866 1243461567 1454615418 2486923134 3151666739 5388333457 6303333478 9455000217 10776666914 12849102859 16165000371 18910000434 25698205718 32330000742 38547308577 77094617154 167038337167 334076674334 501115011501 1002230023002