Search a number
-
+
31000132024000 = 265319203948237
BaseRepresentation
bin1110000110001110001111…
…10110110111011011000000
311001202120202111112200211221
413003013013312313123000
513030401232244232000
6145533133011244424
76346454112335656
oct703070766673300
9131676674480757
1031000132024000
11997209a3a0597
1235880495a9714
13143b3b8b818a9
147925b315cdd6
1538b5b7e1d61a
hex1c31c7db76c0

31000132024000 has 112 divisors (see below), whose sum is σ = 80812449825120. Its totient is φ = 11747418393600.

The previous prime is 31000132023989. The next prime is 31000132024003. The reversal of 31000132024000 is 42023100013.

It is a happy number.

It is a super-2 number, since 2×310001320240002 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (31000132024003) 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, 101822119 + ... + 102126118.

Almost surely, 231000132024000 is an apocalyptic number.

It is an amenable number.

31000132024000 is an abundant number, since it is smaller than the sum of its proper divisors (49812317801120).

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

31000132024000 is a wasteful number, since it uses less digits than its factorization.

31000132024000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203948283 (or 203948263 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 31000132024000 its reverse (42023100013), we get a palindrome (31042155124013).

The spelling of 31000132024000 in words is "thirty-one trillion, one hundred thirty-two million, twenty-four thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 64 76 80 95 100 125 152 160 190 200 250 304 320 380 400 475 500 608 760 800 950 1000 1216 1520 1600 1900 2000 2375 3040 3800 4000 4750 6080 7600 8000 9500 15200 19000 30400 38000 76000 152000 203948237 407896474 815792948 1019741185 1631585896 2039482370 3263171792 3875016503 4078964740 5098705925 6526343584 7750033006 8157929480 10197411850 13052687168 15500066012 16315858960 19375082515 20394823700 25493529625 31000132024 32631717920 38750165030 40789647400 50987059250 62000264048 65263435840 77500330060 81579294800 96875412575 101974118500 124000528096 155000660120 163158589600 193750825150 203948237000 248001056192 310001320240 326317179200 387501650300 407896474000 484377062875 620002640480 775003300600 815792948000 968754125750 1240005280960 1550006601200 1631585896000 1937508251500 3100013202400 3875016503000 6200026404800 7750033006000 15500066012000 31000132024000