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202203132012 = 2232710340119427
BaseRepresentation
bin1011110001010000111…
…1101111000001101100
3201022220212212101110100
42330110033233001230
511303103000211022
6232520230511100
720415532156260
oct2742417570154
9638825771410
10202203132012
117883243a962
1233231505490
13160b58a929b
149b029360a0
1553d6aae1ac
hex2f143ef06c

202203132012 has 144 divisors (see below), whose sum is σ = 591314959872. Its totient is φ = 57065817600.

The previous prime is 202203132007. The next prime is 202203132067. The reversal of 202203132012 is 210231302202.

It is a super-2 number, since 2×2022031320122 (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10398643 + ... + 10418069.

It is an arithmetic number, because the mean of its divisors is an integer number (4106353888).

Almost surely, 2202203132012 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 202203132012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295657479936).

202203132012 is an abundant number, since it is smaller than the sum of its proper divisors (389111827860).

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

202203132012 is a wasteful number, since it uses less digits than its factorization.

202203132012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19948 (or 19943 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 202203132012 its reverse (210231302202), we get a palindrome (412434434214).

The spelling of 202203132012 in words is "two hundred two billion, two hundred three million, one hundred thirty-two thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 103 126 206 252 309 401 412 618 721 802 927 1203 1236 1442 1604 1854 2163 2406 2807 2884 3609 3708 4326 4812 5614 6489 7218 8421 8652 11228 12978 14436 16842 19427 25263 25956 33684 38854 41303 50526 58281 77708 82606 101052 116562 123909 135989 165212 174843 233124 247818 271978 289121 349686 371727 407967 495636 543956 578242 699372 743454 815934 867363 1156484 1223901 1486908 1631868 1734726 2000981 2447802 2602089 3469452 4001962 4895604 5204178 6002943 7790227 8003924 10408356 12005886 14006867 15580454 18008829 23370681 24011772 28013734 31160908 36017658 42020601 46741362 54531589 56027468 70112043 72035316 84041202 93482724 109063178 126061803 140224086 163594767 168082404 218126356 252123606 280448172 327189534 490784301 504247212 654379068 802393381 981568602 1604786762 1963137204 2407180143 3209573524 4814360286 5616753667 7221540429 9628720572 11233507334 14443080858 16850261001 22467014668 28886161716 33700522002 50550783003 67401044004 101101566006 202203132012