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1010311222212 = 22348349975289
BaseRepresentation
bin11101011001110110011…
…11011101001111000100
310120120210022210210020000
432230323033131033010
5113023104133102322
62052044111441300
7132664311460245
oct16547317351704
93516708723200
101010311222212
1135a51a389846
1214397b226230
137436c5b2a66
1436c83a60ccc
151b431aed3ac
hexeb3b3dd3c4

1010311222212 has 120 divisors (see below), whose sum is σ = 2678366460000. Its totient is φ = 332041762944.

The previous prime is 1010311222211. The next prime is 1010311222243. The reversal of 1010311222212 is 2122221130101.

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

It is not an unprimeable number, because it can be changed into a prime (1010311222211) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13381464 + ... + 13456752.

It is an arithmetic number, because the mean of its divisors is an integer number (22319720500).

Almost surely, 21010311222212 is an apocalyptic number.

1010311222212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010311222212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1339183230000).

1010311222212 is an abundant number, since it is smaller than the sum of its proper divisors (1668055237788).

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

1010311222212 is a wasteful number, since it uses less digits than its factorization.

1010311222212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75887 (or 75876 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 1010311222212 its reverse (2122221130101), we get a palindrome (3132532352313).

The spelling of 1010311222212 in words is "one trillion, ten billion, three hundred eleven million, two hundred twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 83 108 162 166 249 324 332 498 499 747 996 998 1494 1497 1996 2241 2988 2994 4482 4491 5988 6723 8964 8982 13446 13473 17964 26892 26946 40419 41417 53892 75289 80838 82834 124251 150578 161676 165668 225867 248502 301156 372753 451734 497004 677601 745506 903468 1118259 1355202 1491012 2032803 2236518 2710404 3354777 4065606 4473036 6098409 6248987 6709554 8131212 12196818 12497974 13419108 18746961 24393636 24995948 37493922 37569211 56240883 74987844 75138422 112481766 112707633 150276844 168722649 224963532 225415266 337445298 338122899 450830532 506167947 674890596 676245798 1012335894 1014368697 1352491596 2024671788 2028737394 3043106091 3118244513 4057474788 6086212182 6236489026 9354733539 12172424364 12472978052 18709467078 28064200617 37418934156 56128401234 84192601851 112256802468 168385203702 252577805553 336770407404 505155611106 1010311222212