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10320100002 = 23417191671181
BaseRepresentation
bin10011001110010000…
…00011101010100010
3222122020002101210000
421213020003222202
5132113421200002
64424015320430
7513512255052
oct114710035242
928566071700
1010320100002
114416477973
122000220116
13c86105064
146dc889562
1540603c61c
hex267203aa2

10320100002 has 160 divisors (see below), whose sum is σ = 25949911680. Its totient is φ = 3046325760.

The previous prime is 10320099971. The next prime is 10320100003. The reversal of 10320100002 is 20000102301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (10320100003) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8737852 + ... + 8739032.

It is an arithmetic number, because the mean of its divisors is an integer number (162186948).

Almost surely, 210320100002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10320100002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12974955840).

10320100002 is an abundant number, since it is smaller than the sum of its proper divisors (15629811678).

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

10320100002 is a wasteful number, since it uses less digits than its factorization.

10320100002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1398 (or 1389 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 10320100002 its reverse (20000102301), we get a palindrome (30320202303).

The spelling of 10320100002 in words is "ten billion, three hundred twenty million, one hundred thousand, two".

Divisors: 1 2 3 6 9 17 18 19 27 34 38 51 54 57 81 102 114 153 162 167 171 306 323 334 342 459 501 513 646 918 969 1002 1026 1181 1377 1503 1539 1938 2362 2754 2839 2907 3006 3078 3173 3543 4509 5678 5814 6346 7086 8517 8721 9018 9519 10629 13527 17034 17442 19038 20077 21258 22439 25551 26163 27054 28557 31887 40154 44878 51102 52326 53941 57114 60231 63774 67317 76653 85671 95661 107882 120462 134634 153306 161823 171342 180693 191322 197227 201951 229959 257013 323646 361386 381463 394454 403902 459918 485469 514026 542079 591681 605853 762926 970938 1084158 1144389 1183362 1211706 1456407 1626237 1775043 1817559 2288778 2912814 3252474 3352859 3433167 3550086 3635118 3747313 4369221 5325129 6705718 6866334 7494626 8738442 10058577 10299501 10650258 11241939 15975387 20117154 20599002 22483878 30175731 30898503 31950774 33725817 60351462 61797006 63704321 67451634 90527193 101177451 127408642 181054386 191112963 202354902 271581579 303532353 382225926 543163158 573338889 607064706 1146677778 1720016667 3440033334 5160050001 10320100002