Search a number
-
+
10332131001332 = 227521972172859
BaseRepresentation
bin1001011001011010001011…
…1111111000001111110100
31100120202000222022021012212
42112112202333320033310
52323240201014020312
633550303201032552
72114320560311450
oct226264277701764
940522028267185
1010332131001332
113323917657178
1211aa529925758
1359c4149a2a4a
1427a113715660
1512db68368822
hex965a2ff83f4

10332131001332 has 48 divisors (see below), whose sum is σ = 20706338701440. Its totient is φ = 4419041702400.

The previous prime is 10332131001317. The next prime is 10332131001347. The reversal of 10332131001332 is 23310013123301.

It is an interprime number because it is at equal distance from previous prime (10332131001317) and next prime (10332131001347).

It is a junction number, because it is equal to n+sod(n) for n = 10332131001298 and 10332131001307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141773519 + ... + 141846377.

It is an arithmetic number, because the mean of its divisors is an integer number (431382056280).

Almost surely, 210332131001332 is an apocalyptic number.

It is an amenable number.

10332131001332 is an abundant number, since it is smaller than the sum of its proper divisors (10374207700108).

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

10332131001332 is a wasteful number, since it uses less digits than its factorization.

10332131001332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83112 (or 83110 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 10332131001332 its reverse (23310013123301), we get a palindrome (33642144124633).

The spelling of 10332131001332 in words is "ten trillion, three hundred thirty-two billion, one hundred thirty-one million, one thousand, three hundred thirty-two".

Divisors: 1 2 4 7 14 28 521 1042 2084 3647 7294 9721 14588 19442 38884 68047 72859 136094 145718 272188 291436 510013 1020026 2040052 5064641 10129282 20258564 35452487 37959539 70904974 75919078 141809948 151838156 265716773 531433546 708262339 1062867092 1416524678 2833049356 4957836373 9915672746 19831345492 369004678619 738009357238 1476018714476 2583032750333 5166065500666 10332131001332