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3013223123020 = 22511149151608759
BaseRepresentation
bin101011110110010010000…
…110000000100001001100
3101200001122200220112011011
4223312102012000201030
5343332040104414040
610224131112535004
7430461322643125
oct53662206004114
911601580815134
103013223123020
11a6199a997820
12407b963b1464
1318b1b81c3956
14a5bab14304c
15535aa56b3ea
hex2bd9218084c

3013223123020 has 96 divisors (see below), whose sum is σ = 6995382912000. Its totient is φ = 1081154208000.

The previous prime is 3013223122961. The next prime is 3013223123033. The reversal of 3013223123020 is 203213223103.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 3013223122982 and 3013223123000.

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, 4645401 + ... + 5254159.

It is an arithmetic number, because the mean of its divisors is an integer number (72868572000).

Almost surely, 23013223123020 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 3013223123020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3497691456000).

3013223123020 is an abundant number, since it is smaller than the sum of its proper divisors (3982159788980).

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

3013223123020 is a wasteful number, since it uses less digits than its factorization.

3013223123020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609079 (or 609077 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 3013223123020 its reverse (203213223103), we get a palindrome (3216436346123).

The spelling of 3013223123020 in words is "three trillion, thirteen billion, two hundred twenty-three million, one hundred twenty-three thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 149 151 220 298 302 596 604 745 755 1490 1510 1639 1661 2980 3020 3278 3322 6556 6644 8195 8305 16390 16610 22499 32780 33220 44998 89996 112495 224990 247489 449980 494978 608759 989956 1217518 1237445 2435036 2474890 3043795 4949780 6087590 6696349 12175180 13392698 26785396 33481745 66963490 90705091 91922609 133926980 181410182 183845218 362820364 367690436 453525455 459613045 907050910 919226090 997756001 1011148699 1814101820 1838452180 1995512002 2022297398 3991024004 4044594796 4988780005 5055743495 9977560010 10111486990 13696468741 19955120020 20222973980 27392937482 54785874964 68482343705 136964687410 150661156151 273929374820 301322312302 602644624604 753305780755 1506611561510 3013223123020