Search a number
-
+
31445050200 = 23352203925703
BaseRepresentation
bin11101010010010001…
…010110001101011000
310000011110102001120220
4131102101112031120
51003344413101300
622240132320040
72162144342124
oct352221261530
9100143361526
1031445050200
1112376a026a3
126116a73020
132c71887ca5
141744326584
15c4091bda0
hex752456358

31445050200 has 96 divisors (see below), whose sum is σ = 97531257600. Its totient is φ = 8380908160.

The previous prime is 31445050183. The next prime is 31445050223. The reversal of 31445050200 is 205054413.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 1210549 + ... + 1236251.

It is an arithmetic number, because the mean of its divisors is an integer number (1015950600).

Almost surely, 231445050200 is an apocalyptic number.

31445050200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31445050200 is an abundant number, since it is smaller than the sum of its proper divisors (66086207400).

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

31445050200 is a wasteful number, since it uses less digits than its factorization.

31445050200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27761 (or 27752 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The spelling of 31445050200 in words is "thirty-one billion, four hundred forty-five million, fifty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 2039 4078 6117 8156 10195 12234 16312 20390 24468 25703 30585 40780 48936 50975 51406 61170 77109 81560 101950 102812 122340 128515 152925 154218 203900 205624 244680 257030 305850 308436 385545 407800 514060 611700 616872 642575 771090 1028120 1223400 1285150 1542180 1927725 2570300 3084360 3855450 5140600 7710900 15421800 52408417 104816834 157225251 209633668 262042085 314450502 419267336 524084170 628901004 786126255 1048168340 1257802008 1310210425 1572252510 2096336680 2620420850 3144505020 3930631275 5240841700 6289010040 7861262550 10481683400 15722525100 31445050200