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2131001432 = 237294727919
BaseRepresentation
bin111111100000100…
…1000000001011000
312111111212002101222
41333001020001120
513331014021212
6551242431212
7103544133110
oct17701100130
95444762358
102131001432
119a3992a0a
124b5802508
1327c6538c1
1416303a040
15c713cc72
hex7f048058

2131001432 has 64 divisors (see below), whose sum is σ = 4824576000. Its totient is φ = 863001216.

The previous prime is 2131001419. The next prime is 2131001437. The reversal of 2131001432 is 2341001312.

It is a self number, because there is not a number n which added to its sum of digits gives 2131001432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131001437) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62369 + ... + 90287.

It is an arithmetic number, because the mean of its divisors is an integer number (75384000).

Almost surely, 22131001432 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 2131001432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2412288000).

2131001432 is an abundant number, since it is smaller than the sum of its proper divisors (2693574568).

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

2131001432 is a wasteful number, since it uses less digits than its factorization.

2131001432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28008 (or 28004 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 2131001432 is about 46162.7710606718. The cubic root of 2131001432 is about 1286.8499613887.

Adding to 2131001432 its reverse (2341001312), we get a palindrome (4472002744).

The spelling of 2131001432 in words is "two billion, one hundred thirty-one million, one thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 29 47 56 58 94 116 188 203 232 329 376 406 658 812 1316 1363 1624 2632 2726 5452 9541 10904 19082 27919 38164 55838 76328 111676 195433 223352 390866 781732 809651 1312193 1563464 1619302 2624386 3238604 5248772 5667557 6477208 9185351 10497544 11335114 18370702 22670228 36741404 38053597 45340456 73482808 76107194 152214388 266375179 304428776 532750358 1065500716 2131001432