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3133042000 = 245311532687
BaseRepresentation
bin1011101010111110…
…0110110101010000
322002100101000122121
42322233212311100
522404024321000
61234515544024
7140432263144
oct27257466520
98070330577
103133042000
11136857a910
127352bb014
133ac12680a
1421a159224
151350c3b1a
hexbabe6d50

3133042000 has 160 divisors (see below), whose sum is σ = 8423460864. Its totient is φ = 1117376000.

The previous prime is 3133041997. The next prime is 3133042039. The reversal of 3133042000 is 2403313.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1164657 + ... + 1167343.

Almost surely, 23133042000 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 3133042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4211730432).

3133042000 is an abundant number, since it is smaller than the sum of its proper divisors (5290418864).

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

3133042000 is a wasteful number, since it uses less digits than its factorization.

3133042000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2774 (or 2758 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 3133042000 is about 55973.5830548662. The cubic root of 3133042000 is about 1463.2619255332.

Adding to 3133042000 its reverse (2403313), we get a palindrome (3135445313).

The spelling of 3133042000 in words is "three billion, one hundred thirty-three million, forty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 53 55 80 88 100 106 110 125 176 200 212 220 250 265 275 400 424 440 500 530 550 583 848 880 1000 1060 1100 1166 1325 1375 2000 2120 2200 2332 2650 2687 2750 2915 4240 4400 4664 5300 5374 5500 5830 6625 9328 10600 10748 11000 11660 13250 13435 14575 21200 21496 22000 23320 26500 26870 29150 29557 42992 46640 53000 53740 58300 59114 67175 72875 106000 107480 116600 118228 134350 142411 145750 147785 214960 233200 236456 268700 284822 291500 295570 335875 472912 537400 569644 583000 591140 671750 712055 738925 1074800 1139288 1166000 1182280 1343500 1424110 1477850 1566521 2278576 2364560 2687000 2848220 2955700 3133042 3560275 3694625 5374000 5696440 5911400 6266084 7120550 7389250 7832605 11392880 11822800 12532168 14241100 14778500 15665210 17801375 25064336 28482200 29557000 31330420 35602750 39163025 56964400 59114000 62660840 71205500 78326050 125321680 142411000 156652100 195815125 284822000 313304200 391630250 626608400 783260500 1566521000 3133042000