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2131101432 = 2332233734781
BaseRepresentation
bin111111100000110…
…0000011011111000
312111112001011120200
41333001200123320
513331030221212
6551244522200
7103545030465
oct17701403370
95445034520
102131101432
119a3a51059
124b5850360
1327c68a285
1416306466c
15c715c6dc
hex7f0606f8

2131101432 has 96 divisors (see below), whose sum is σ = 6185630880. Its totient is φ = 661098240.

The previous prime is 2131101431. The next prime is 2131101437. The reversal of 2131101432 is 2341011312.

2131101432 is a `hidden beast` number, since 2 + 131 + 101 + 432 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131101431) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43882 + ... + 78662.

It is an arithmetic number, because the mean of its divisors is an integer number (64433655).

Almost surely, 22131101432 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 2131101432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3092815440).

2131101432 is an abundant number, since it is smaller than the sum of its proper divisors (4054529448).

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

2131101432 is a wasteful number, since it uses less digits than its factorization.

2131101432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34853 (or 34846 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2131101432 is about 46163.8541718518. The cubic root of 2131101432 is about 1286.8700901071.

Adding to 2131101432 its reverse (2341011312), we get a palindrome (4472112744).

The spelling of 2131101432 in words is "two billion, one hundred thirty-one million, one hundred one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 37 46 69 72 74 92 111 138 148 184 207 222 276 296 333 414 444 552 666 828 851 888 1332 1656 1702 2553 2664 3404 5106 6808 7659 10212 15318 20424 30636 34781 61272 69562 104343 139124 208686 278248 313029 417372 626058 799963 834744 1252116 1286897 1599926 2399889 2504232 2573794 3199852 3860691 4799778 5147588 6399704 7199667 7721382 9599556 10295176 11582073 14399334 15442764 19199112 23164146 28798668 29598631 30885528 46328292 57597336 59197262 88795893 92656584 118394524 177591786 236789048 266387679 355183572 532775358 710367144 1065550716 2131101432