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31350020000 = 255413120577
BaseRepresentation
bin11101001100100110…
…110101011110100000
32222220211121000122212
4131030212311132200
51003201101120000
622222455421252
72156611526135
oct351446653640
988824530585
1031350020000
11123282a6042
1260ab084828
132c57c945c0
14173586a58c
15c373e9c35
hex74c9b57a0

31350020000 has 120 divisors (see below), whose sum is σ = 83059190676. Its totient is φ = 11575296000.

The previous prime is 31350019997. The next prime is 31350020047. The reversal of 31350020000 is 2005313.

It can be written as a sum of positive squares in 10 ways, for example, as 13455072016 + 17894947984 = 115996^2 + 133772^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 199712 + ... + 320288.

Almost surely, 231350020000 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 31350020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41529595338).

31350020000 is an abundant number, since it is smaller than the sum of its proper divisors (51709170676).

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

31350020000 is a wasteful number, since it uses less digits than its factorization.

31350020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120620 (or 120597 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 14.

Adding to 31350020000 its reverse (2005313), we get a palindrome (31352025313).

The spelling of 31350020000 in words is "thirty-one billion, three hundred fifty million, twenty thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 100 104 125 130 160 200 208 250 260 325 400 416 500 520 625 650 800 1000 1040 1250 1300 1625 2000 2080 2500 2600 3250 4000 5000 5200 6500 8125 10000 10400 13000 16250 20000 26000 32500 52000 65000 120577 130000 241154 260000 482308 602885 964616 1205770 1567501 1929232 2411540 3014425 3135002 3858464 4823080 6028850 6270004 7837505 9646160 12057700 12540008 15072125 15675010 19292320 24115400 25080016 30144250 31350020 39187525 48230800 50160032 60288500 62700040 75360625 78375050 96461600 120577000 125400080 150721250 156750100 195937625 241154000 250800160 301442500 313500200 391875250 482308000 602885000 627000400 783750500 979688125 1205770000 1254000800 1567501000 1959376250 2411540000 3135002000 3918752500 6270004000 7837505000 15675010000 31350020000