Search a number
-
+
31431403100 = 22521373975779
BaseRepresentation
bin11101010001011101…
…010010011001011100
310000010111201201021202
4131101131102121130
51003332414344400
622234524015032
72161620342506
oct352135223134
9100114651252
1031431403100
111236a2313a9
126112391478
132c6baba396
1417425b2d76
15c3e6234d5
hex75175265c

31431403100 has 72 divisors (see below), whose sum is σ = 68888976240. Its totient is φ = 12447198720.

The previous prime is 31431403063. The next prime is 31431403121. The reversal of 31431403100 is 130413413.

It is a super-2 number, since 2×314314031002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5436011 + ... + 5441789.

Almost surely, 231431403100 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 31431403100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34444488120).

31431403100 is an abundant number, since it is smaller than the sum of its proper divisors (37457573140).

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

31431403100 is a wasteful number, since it uses less digits than its factorization.

31431403100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6327 (or 6320 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 31431403100 its reverse (130413413), we get a palindrome (31561816513).

The spelling of 31431403100 in words is "thirty-one billion, four hundred thirty-one million, four hundred three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 137 274 397 548 685 794 1370 1588 1985 2740 3425 3970 5779 6850 7940 9925 11558 13700 19850 23116 28895 39700 54389 57790 108778 115580 144475 217556 271945 288950 543890 577900 791723 1087780 1359725 1583446 2294263 2719450 3166892 3958615 4588526 5438900 7917230 9177052 11471315 15834460 19793075 22942630 39586150 45885260 57356575 79172300 114713150 229426300 314314031 628628062 1257256124 1571570155 3143140310 6286280620 7857850775 15715701550 31431403100