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630201222102036 = 2231331749125954573
BaseRepresentation
bin1000111101001010100010011…
…1111110101111110000010100
310001122100122111201110211112010
42033102220213332233300110
51130100204100324231121
610112154240015424220
7246512351525414154
oct21722504776576024
93048318451424463
10630201222102036
1117288a923623582
125a821276225070
13210849494ca630
14b189c8ab40764
154cccea7870376
hex23d2a27fafc14

630201222102036 has 96 divisors (see below), whose sum is σ = 1591813541259648. Its totient is φ = 192902684567040.

The previous prime is 630201222102019. The next prime is 630201222102073.

630201222102036 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 630201222101994 and 630201222102012.

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, 11303646 + ... + 37258218.

It is an arithmetic number, because the mean of its divisors is an integer number (16581391054788).

Almost surely, 2630201222102036 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 630201222102036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795906770629824).

630201222102036 is an abundant number, since it is smaller than the sum of its proper divisors (961612319157612).

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

630201222102036 is a wasteful number, since it uses less digits than its factorization.

630201222102036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25955401 (or 25955399 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The spelling of 630201222102036 in words is "six hundred thirty trillion, two hundred one billion, two hundred twenty-two million, one hundred two thousand, thirty-six".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 317 491 634 951 982 1268 1473 1902 1964 2946 3804 4121 5892 6383 8242 12363 12766 16484 19149 24726 25532 38298 49452 76596 155647 311294 466941 622588 933882 1867764 2023411 4046822 6070233 8093644 12140466 24280932 25954573 51909146 77863719 103818292 155727438 311454876 337409449 674818898 1012228347 1349637796 2024456694 4048913388 8227599641 12743695343 16455199282 24682798923 25487390686 32910398564 38231086029 49365597846 50974781372 76462172058 98731195692 106958795333 152924344116 165668039459 213917590666 320876385999 331336078918 427835181332 497004118377 641752771998 662672157836 994008236754 1283505543996 1988016473508 4039751423731 8079502847462 12119254271193 16159005694924 24238508542386 48477017084772 52516768508503 105033537017006 157550305525509 210067074034012 315100611051018 630201222102036