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31321100202 = 23719295092659
BaseRepresentation
bin11101001010111000…
…100000111110101010
32222211211011202011020
4131022320200332222
51003121200201302
622215543513310
72156110646640
oct351270407652
988754152136
1031321100202
1112312a43187
1260a1458836
132c51caa1b2
141731a9d190
15c34ad5ebc
hex74ae20faa

31321100202 has 128 divisors (see below), whose sum is σ = 78140160000. Its totient is φ = 8166396672.

The previous prime is 31321100171. The next prime is 31321100233. The reversal of 31321100202 is 20200112313.

It is an interprime number because it is at equal distance from previous prime (31321100171) and next prime (31321100233).

It is a super-2 number, since 2×313211002022 (a number of 22 digits) contains 22 as substring.

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, 11777949 + ... + 11780607.

It is an arithmetic number, because the mean of its divisors is an integer number (610470000).

Almost surely, 231321100202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31321100202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39070080000).

31321100202 is an abundant number, since it is smaller than the sum of its proper divisors (46819059798).

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

31321100202 is a wasteful number, since it uses less digits than its factorization.

31321100202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3228.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 31321100202 its reverse (20200112313), we get a palindrome (51521212515).

The spelling of 31321100202 in words is "thirty-one billion, three hundred twenty-one million, one hundred thousand, two hundred two".

Divisors: 1 2 3 6 7 14 19 21 29 38 42 57 58 87 114 133 174 203 266 399 406 509 551 609 798 1018 1102 1218 1527 1653 2659 3054 3306 3563 3857 5318 7126 7714 7977 9671 10689 11571 14761 15954 18613 19342 21378 23142 29013 29522 37226 44283 50521 55839 58026 67697 77111 88566 101042 103327 111678 135394 151563 154222 203091 206654 231333 280459 303126 309981 353647 406182 462666 539777 560918 619962 707294 841377 1060941 1079554 1353431 1465109 1619331 1682754 1963213 2121882 2706862 2930218 3238662 3926426 4060293 4395327 5889639 8120586 8790654 9474017 10255763 11779278 18948034 20511526 25715189 28422051 30767289 39249499 51430378 56844102 61534578 77145567 78498998 117748497 154291134 180006323 235496994 274746493 360012646 540018969 549492986 745740481 824239479 1080037938 1491480962 1648478958 2237221443 4474442886 5220183367 10440366734 15660550101 31321100202