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31330021200 = 2435229389107
BaseRepresentation
bin11101001011011010…
…100010111101010000
32222212102221222110120
4131023122202331100
51003130441134300
622220503030240
72156246533452
oct351332427520
988772858416
1031330021200
1112317a86705
1260a443b380
132c53ab18aa
141732d422d2
15c357993a0
hex74b6a2f50

31330021200 has 120 divisors (see below), whose sum is σ = 100704158688. Its totient is φ = 8326064640.

The previous prime is 31330021199. The next prime is 31330021223. The reversal of 31330021200 is 212003313.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 31330021200.

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, 307047 + ... + 396153.

Almost surely, 231330021200 is an apocalyptic number.

31330021200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31330021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50352079344).

31330021200 is an abundant number, since it is smaller than the sum of its proper divisors (69374137488).

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

31330021200 is a wasteful number, since it uses less digits than its factorization.

31330021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89421 (or 89410 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 31330021200 its reverse (212003313), we get a palindrome (31542024513).

The spelling of 31330021200 in words is "thirty-one billion, three hundred thirty million, twenty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 293 300 400 586 600 879 1172 1200 1465 1758 2344 2930 3516 4395 4688 5860 7032 7325 8790 11720 14064 14650 17580 21975 23440 29300 35160 43950 58600 70320 87900 89107 117200 175800 178214 267321 351600 356428 445535 534642 712856 891070 1069284 1336605 1425712 1782140 2138568 2227675 2673210 3564280 4277136 4455350 5346420 6683025 7128560 8910700 10692840 13366050 17821400 21385680 26108351 26732100 35642800 52216702 53464200 78325053 104433404 106928400 130541755 156650106 208866808 261083510 313300212 391625265 417733616 522167020 626600424 652708775 783250530 1044334040 1253200848 1305417550 1566501060 1958126325 2088668080 2610835100 3133002120 3916252650 5221670200 6266004240 7832505300 10443340400 15665010600 31330021200