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1011213030132 = 22321912771157699
BaseRepresentation
bin11101011011100001111…
…11100101001011110100
310120200010011201101010100
432231300333211023310
5113031431013431012
62052313404354100
7133025541635664
oct16556077451364
93520104641110
101011213030132
1135a942436448
12143b91245930
1374484390306
1436d2b72c1a4
151b485d858dc
hexeb70fe52f4

1011213030132 has 72 divisors (see below), whose sum is σ = 2692763892000. Its totient is φ = 319080091968.

The previous prime is 1011213030029. The next prime is 1011213030133. The reversal of 1011213030132 is 2310303121101.

It is a super-2 number, since 2×10112130301322 (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011213030133) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 294619 + ... + 1452317.

It is an arithmetic number, because the mean of its divisors is an integer number (37399498500).

Almost surely, 21011213030132 is an apocalyptic number.

1011213030132 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 1011213030132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1346381946000).

1011213030132 is an abundant number, since it is smaller than the sum of its proper divisors (1681550861868).

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

1011213030132 is a wasteful number, since it uses less digits than its factorization.

1011213030132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1159005 (or 1159000 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1011213030132 its reverse (2310303121101), we get a palindrome (3321516151233).

It can be divided in two parts, 101121 and 3030132, that added together give a triangular number (3131253 = T2502).

The spelling of 1011213030132 in words is "one trillion, eleven billion, two hundred thirteen million, thirty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 1277 2554 3831 5108 7662 11493 15324 22986 24263 45972 48526 72789 97052 145578 218367 291156 436734 873468 1157699 2315398 3473097 4630796 6946194 10419291 13892388 20838582 21996281 41677164 43992562 65988843 87985124 131977686 197966529 263955372 395933058 791866116 1478381623 2956763246 4435144869 5913526492 8870289738 13305434607 17740579476 26610869214 28089250837 53221738428 56178501674 84267752511 112357003348 168535505022 252803257533 337071010044 505606515066 1011213030132