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31213122421200 = 2435297126787781
BaseRepresentation
bin1110001100011010111110…
…00100110000000111010000
311002111221112011112221020120
413012031133010300013100
513042343433314434300
6150215035510510240
76401034162004056
oct706153704600720
9132457464487216
1031213122421200
119a44457978445
12360138b665380
13145550058c915
1479ca1a5ca1d6
15391dd1a493a0
hex1c635f1301d0

31213122421200 has 120 divisors (see below), whose sum is σ = 100089011455776. Its totient is φ = 8314926912000.

The previous prime is 31213122421199. The next prime is 31213122421241. The reversal of 31213122421200 is 212422131213.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×312131224212002 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12228691 + ... + 14559090.

Almost surely, 231213122421200 is an apocalyptic number.

31213122421200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31213122421200 is an abundant number, since it is smaller than the sum of its proper divisors (68875889034576).

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

31213122421200 is a wasteful number, since it uses less digits than its factorization.

31213122421200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26788773 (or 26788762 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 31213122421200 its reverse (212422131213), we get a palindrome (31425544552413).

The spelling of 31213122421200 in words is "thirty-one trillion, two hundred thirteen billion, one hundred twenty-two million, four hundred twenty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 971 1200 1942 2913 3884 4855 5826 7768 9710 11652 14565 15536 19420 23304 24275 29130 38840 46608 48550 58260 72825 77680 97100 116520 145650 194200 233040 291300 388400 582600 1165200 26787781 53575562 80363343 107151124 133938905 160726686 214302248 267877810 321453372 401816715 428604496 535755620 642906744 669694525 803633430 1071511240 1285813488 1339389050 1607266860 2009083575 2143022480 2678778100 3214533720 4018167150 5357556200 6429067440 8036334300 10715112400 16072668600 26010935351 32145337200 52021870702 78032806053 104043741404 130054676755 156065612106 208087482808 260109353510 312131224212 390164030265 416174965616 520218707020 624262448424 650273383775 780328060530 1040437414040 1248524896848 1300546767550 1560656121060 1950820151325 2080874828080 2601093535100 3121312242120 3901640302650 5202187070200 6242624484240 7803280605300 10404374140400 15606561210600 31213122421200