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312013223000 = 23531749936781
BaseRepresentation
bin1001000101001010110…
…11111111010001011000
31002211100201220222122022
410202211123333101120
520103000341114000
6355200434114012
731353656431163
oct4424533772130
91084321828568
10312013223000
1111036236a576
125057871b908
1323565942c9b
141115c802ada
1581b2192585
hex48a56ff458

312013223000 has 128 divisors (see below), whose sum is σ = 774628920000. Its totient is φ = 117225216000.

The previous prime is 312013222981. The next prime is 312013223021. The reversal of 312013223000 is 322310213.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 312013223000.

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, 8464610 + ... + 8501390.

Almost surely, 2312013223000 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 312013223000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387314460000).

312013223000 is an abundant number, since it is smaller than the sum of its proper divisors (462615697000).

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

312013223000 is a wasteful number, since it uses less digits than its factorization.

312013223000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37318 (or 37304 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 312013223000 its reverse (322310213), we get a palindrome (312335533213).

The spelling of 312013223000 in words is "three hundred twelve billion, thirteen million, two hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 170 200 250 340 425 499 500 680 850 998 1000 1700 1996 2125 2495 3400 3992 4250 4990 8483 8500 9980 12475 16966 17000 19960 24950 33932 36781 42415 49900 62375 67864 73562 84830 99800 124750 147124 169660 183905 212075 249500 294248 339320 367810 424150 499000 625277 735620 848300 919525 1060375 1250554 1471240 1696600 1839050 2120750 2501108 3126385 3678100 4241500 4597625 5002216 6252770 7356200 8483000 9195250 12505540 15631925 18353719 18390500 25011080 31263850 36707438 36781000 62527700 73414876 78159625 91768595 125055400 146829752 156319250 183537190 312013223 312638500 367074380 458842975 624026446 625277000 734148760 917685950 1248052892 1560066115 1835371900 2294214875 2496105784 3120132230 3670743800 4588429750 6240264460 7800330575 9176859500 12480528920 15600661150 18353719000 31201322300 39001652875 62402644600 78003305750 156006611500 312013223000