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20213300113002 = 23317434011276973
BaseRepresentation
bin1001001100010010001101…
…00100101010111001101010
32122120101001122020221021000
410212021012210222321222
510122133314312104002
6110553510055455430
74154235264043353
oct446110644527152
978511048227230
1020213300113002
116493459a54a67
122325581387576
13b3814bc11c59
144dc4868aad2a
15250bdac8e61c
hex12624692ae6a

20213300113002 has 128 divisors (see below), whose sum is σ = 48788170801920. Its totient is φ = 6178501324800.

The previous prime is 20213300112979. The next prime is 20213300113033. The reversal of 20213300113002 is 20031100331202.

20213300113002 is a `hidden beast` number, since 2 + 0 + 21 + 330 + 0 + 11 + 300 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15190588 + ... + 16467560.

It is an arithmetic number, because the mean of its divisors is an integer number (381157584390).

Almost surely, 220213300113002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20213300113002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24394085400960).

20213300113002 is an abundant number, since it is smaller than the sum of its proper divisors (28574870688918).

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

20213300113002 is a wasteful number, since it uses less digits than its factorization.

20213300113002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1277445 (or 1277439 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 20213300113002 its reverse (20031100331202), we get a palindrome (40244400444204).

The spelling of 20213300113002 in words is "twenty trillion, two hundred thirteen billion, three hundred million, one hundred thirteen thousand, two".

Divisors: 1 2 3 6 9 17 18 27 34 43 51 54 86 102 129 153 258 306 387 401 459 731 774 802 918 1161 1203 1462 2193 2322 2406 3609 4386 6579 6817 7218 10827 13158 13634 17243 19737 20451 21654 34486 39474 40902 51729 61353 103458 122706 155187 184059 293131 310374 368118 465561 586262 879393 931122 1276973 1758786 2553946 2638179 3830919 5276358 7661838 7914537 11492757 15829074 21708541 22985514 34478271 43417082 54909839 65125623 68956542 109819678 130251246 164729517 195376869 329459034 390753738 494188551 512066173 586130607 933467263 988377102 1024132346 1172261214 1482565653 1536198519 1866934526 2800401789 2965131306 3072397038 4608595557 5600803578 8401205367 8705124941 9217191114 13825786671 16802410734 17410249882 22018845439 25203616101 26115374823 27651573342 44037690878 50407232202 52230749646 66056536317 78346124469 132113072634 156692248938 198169608951 235038373407 374320372463 396339217902 470076746814 594508826853 748640744926 1122961117389 1189017653706 2245922234778 3368883352167 6737766704334 10106650056501 20213300113002