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1002121100232 = 2337291491380469
BaseRepresentation
bin11101001010100110001…
…00100111101111001000
310112210122112122110222220
432211103010213233020
5112404321000201412
62044211301014040
7132254331543510
oct16452304475710
93483575573886
101002121100232
11356aa726599a
121422743b4320
1373665863835
1436708026840
151b102a9a68c
hexe953127bc8

1002121100232 has 128 divisors (see below), whose sum is σ = 2981815200000. Its totient is φ = 274591650816.

The previous prime is 1002121100209. The next prime is 1002121100263. The reversal of 1002121100232 is 2320011212001.

1002121100232 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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, 35694 + ... + 1416162.

It is an arithmetic number, because the mean of its divisors is an integer number (23295431250).

Almost surely, 21002121100232 is an apocalyptic number.

1002121100232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002121100232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1490907600000).

1002121100232 is an abundant number, since it is smaller than the sum of its proper divisors (1979694099768).

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

1002121100232 is a wasteful number, since it uses less digits than its factorization.

1002121100232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1380663 (or 1380659 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 1002121100232 its reverse (2320011212001), we get a palindrome (3322132312233).

The spelling of 1002121100232 in words is "one trillion, two billion, one hundred twenty-one million, one hundred thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 56 58 84 87 116 149 168 174 203 232 298 348 406 447 596 609 696 812 894 1043 1192 1218 1624 1788 2086 2436 3129 3576 4172 4321 4872 6258 8344 8642 12516 12963 17284 25032 25926 30247 34568 51852 60494 90741 103704 120988 181482 241976 362964 725928 1380469 2760938 4141407 5521876 8282814 9663283 11043752 16565628 19326566 28989849 33131256 38653132 40033601 57979698 77306264 80067202 115959396 120100803 160134404 205689881 231918792 240201606 280235207 320268808 411379762 480403212 560470414 617069643 822759524 840705621 960806424 1120940828 1234139286 1439829167 1645519048 1681411242 2241881656 2468278572 2879658334 3362822484 4319487501 4936557144 5759316668 5965006549 6725644968 8638975002 11518633336 11930013098 17277950004 17895019647 23860026196 34555900008 35790039294 41755045843 47720052392 71580078588 83510091686 125265137529 143160157176 167020183372 250530275058 334040366744 501060550116 1002121100232