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1003241440212 = 2231124379720161
BaseRepresentation
bin11101001100101011101…
…10011000001111010100
310112220112121202122112020
432212111312120033110
5112414114302041322
62044514401453140
7132324154353024
oct16462566301724
93486477678466
101003241440212
11357521702a00
121425276411b0
13737b39b65bb
14367b2b3ba84
151b16b0ed05c
hexe995d983d4

1003241440212 has 144 divisors (see below), whose sum is σ = 2636324408256. Its totient is φ = 296555212800.

The previous prime is 1003241440177. The next prime is 1003241440249. The reversal of 1003241440212 is 2120441423001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49751412 + ... + 49771572.

Almost surely, 21003241440212 is an apocalyptic number.

1003241440212 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 1003241440212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1318162204128).

1003241440212 is an abundant number, since it is smaller than the sum of its proper divisors (1633082968044).

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

1003241440212 is a wasteful number, since it uses less digits than its factorization.

1003241440212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21030 (or 21017 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 1003241440212 its reverse (2120441423001), we get a palindrome (3123682863213).

The spelling of 1003241440212 in words is "one trillion, three billion, two hundred forty-one million, four hundred forty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 43 44 66 86 121 129 132 172 242 258 363 473 484 516 726 797 946 1419 1452 1594 1892 2391 2838 3188 4782 5203 5676 8767 9564 10406 15609 17534 20161 20812 26301 31218 34271 35068 40322 52602 60483 62436 68542 80644 96437 102813 105204 120966 137084 192874 205626 221771 241932 289311 376981 385748 411252 443542 578622 665313 753962 866923 887084 1130943 1157244 1330626 1507924 1733846 2261886 2439481 2600769 2661252 3467692 4146791 4523772 4878962 5201538 7318443 8293582 9536153 9757924 10403076 12440373 14636886 16068317 16587164 19072306 24880746 28608459 29273772 32136634 38144612 48204951 49761492 57216918 64273268 96409902 104897683 114433836 176751487 192819804 209795366 314693049 353502974 419590732 530254461 629386098 690937631 707005948 1060508922 1258772196 1381875262 1944266357 2072812893 2121017844 2763750524 3888532714 4145625786 5832799071 7600313941 7777065428 8291251572 11665598142 15200627882 22800941823 23331196284 30401255764 45601883646 83603453351 91203767292 167206906702 250810360053 334413813404 501620720106 1003241440212