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3212021102130 = 2325101721348989
BaseRepresentation
bin101110101111011011011…
…000000111011000110010
3102101001210021101012222100
4232233123120013120302
5410111204400232010
610455325423321230
7451026606614061
oct56573330073062
912331707335870
103212021102130
1110292351a1925
1243a617450216
131a3b7a491859
14b166972a1d8
15588432062c0
hex2ebdb607632

3212021102130 has 96 divisors (see below), whose sum is σ = 8435282010480. Its totient is φ = 847923494400.

The previous prime is 3212021102117. The next prime is 3212021102189. The reversal of 3212021102130 is 312011202123.

3212021102130 is a `hidden beast` number, since 321 + 2 + 0 + 211 + 0 + 2 + 130 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1664154180441 + 1547866921689 = 1290021^2 + 1244133^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65541676 + ... + 65590664.

Almost surely, 23212021102130 is an apocalyptic number.

3212021102130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3212021102130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4217641005240).

3212021102130 is an abundant number, since it is smaller than the sum of its proper divisors (5223260908350).

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

3212021102130 is a wasteful number, since it uses less digits than its factorization.

3212021102130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56316 (or 56313 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 3212021102130 its reverse (312011202123), we get a palindrome (3524032304253).

The spelling of 3212021102130 in words is "three trillion, two hundred twelve billion, twenty-one million, one hundred two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 101 202 303 505 606 909 1010 1515 1818 3030 4545 7213 9090 14426 21639 36065 43278 48989 64917 72130 97978 108195 129834 146967 216390 244945 293934 324585 440901 489890 649170 728513 734835 881802 1457026 1469670 2185539 2204505 3642565 4371078 4409010 4947889 6556617 7285130 9895778 10927695 13113234 14843667 21855390 24739445 29687334 32783085 44531001 49478890 65566170 74218335 89062002 148436670 222655005 353357657 445310010 706715314 1060072971 1766788285 2120145942 3180218913 3533576570 5300364855 6360437826 10600729710 15901094565 31802189130 35689123357 71378246714 107067370071 178445616785 214134740142 321202110213 356891233570 535336850355 642404220426 1070673700710 1606010551065 3212021102130