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34122020020 = 225112943112409
BaseRepresentation
bin11111110001110101…
…001011010010110100
310021002000121012211021
4133301311023102310
51024340214120040
623401521150524
72315401245634
oct376165132264
9107060535737
1034122020020
111351aa99750
12674348b444
1332aa369cba
141919a826c4
15d4a95324a
hex7f1d4b4b4

34122020020 has 96 divisors (see below), whose sum is σ = 81060134400. Its totient is φ = 11951385600.

The previous prime is 34122019961. The next prime is 34122020059. The reversal of 34122020020 is 2002022143.

It is a junction number, because it is equal to n+sod(n) for n = 34122019976 and 34122020003.

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, 2743576 + ... + 2755984.

It is an arithmetic number, because the mean of its divisors is an integer number (844376400).

Almost surely, 234122020020 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 34122020020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40530067200).

34122020020 is an abundant number, since it is smaller than the sum of its proper divisors (46938114380).

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

34122020020 is a wasteful number, since it uses less digits than its factorization.

34122020020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12889 (or 12887 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 34122020020 its reverse (2002022143), we get a palindrome (36124042163).

The spelling of 34122020020 in words is "thirty-four billion, one hundred twenty-two million, twenty thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 145 220 290 319 431 580 638 862 1276 1595 1724 2155 3190 4310 4741 6380 8620 9482 12409 12499 18964 23705 24818 24998 47410 49636 49996 62045 62495 94820 124090 124990 136499 137489 248180 249980 272998 274978 359861 545996 549956 682495 687445 719722 1364990 1374890 1439444 1799305 2729980 2749780 3598610 3958471 5348279 7197220 7916942 10696558 15833884 19792355 21393116 26741395 39584710 53482790 58831069 79169420 106965580 117662138 155100091 235324276 294155345 310200182 588310690 620400364 775500455 1176621380 1551000910 1706101001 3102001820 3412202002 6824404004 8530505005 17061010010 34122020020