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1213024031430 = 2351767118130059
BaseRepresentation
bin10001101001101101110…
…111011101001011000110
311021222000201201110100220
4101221231313131023012
5124333233123001210
62325131110445210
7153431603100111
oct21515567351306
94258021643326
101213024031430
11428493495732
12177113363806
138a506951a93
14429d414b578
15218482d7c70
hex11a6dddd2c6

1213024031430 has 128 divisors (see below), whose sum is σ = 3131268917760. Its totient is φ = 299637381120.

The previous prime is 1213024031407. The next prime is 1213024031489. The reversal of 1213024031430 is 341304203121.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1213024031430.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 40339741 + ... + 40369799.

It is an arithmetic number, because the mean of its divisors is an integer number (24463038420).

Almost surely, 21213024031430 is an apocalyptic number.

1213024031430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1213024031430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1565634458880).

1213024031430 is an abundant number, since it is smaller than the sum of its proper divisors (1918244886330).

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

1213024031430 is a wasteful number, since it uses less digits than its factorization.

1213024031430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31334.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 1213024031430 its reverse (341304203121), we get a palindrome (1554328234551).

The spelling of 1213024031430 in words is "one trillion, two hundred thirteen billion, twenty-four million, thirty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 67 85 102 134 170 201 255 335 402 510 670 1005 1139 1181 2010 2278 2362 3417 3543 5695 5905 6834 7086 11390 11810 17085 17715 20077 30059 34170 35430 40154 60118 60231 79127 90177 100385 120462 150295 158254 180354 200770 237381 300590 301155 395635 450885 474762 511003 602310 791270 901770 1022006 1186905 1345159 1533009 2013953 2373810 2555015 2690318 3066018 4027906 4035477 5110030 6041859 6725795 7665045 8070954 10069765 12083718 13451590 15330090 20139530 20177385 30209295 34237201 35499679 40354770 60418590 68474402 70999358 102711603 106499037 171186005 177498395 205423206 212998074 342372010 354996790 513558015 532495185 603494543 1027116030 1064990370 1206989086 1810483629 2378478493 3017472715 3620967258 4756956986 6034945430 7135435479 9052418145 11892392465 14270870958 18104836290 23784784930 35677177395 40434134381 71354354790 80868268762 121302403143 202170671905 242604806286 404341343810 606512015715 1213024031430