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1361212222300 = 2252723295328631
BaseRepresentation
bin10011110011101110100…
…100100010101101011100
311211010112012221112100121
4103303232210202231130
5134300230312103200
62521155434004324
7200226051661030
oct23635644425534
94733465845317
101361212222300
114853178a3867
1219b98b2766a4
139b491a38018
1449c510301c0
152561ccc9e1a
hex13cee922b5c

1361212222300 has 144 divisors (see below), whose sum is σ = 3523896456192. Its totient is φ = 446243212800.

The previous prime is 1361212222273. The next prime is 1361212222313. The reversal of 1361212222300 is 32222121631.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

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, 47528985 + ... + 47557615.

It is an arithmetic number, because the mean of its divisors is an integer number (24471503168).

Almost surely, 21361212222300 is an apocalyptic number.

1361212222300 is a gapful number since it is divisible by the number (10) 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 1361212222300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1761948228096).

1361212222300 is an abundant number, since it is smaller than the sum of its proper divisors (2162684233892).

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

1361212222300 is a wasteful number, since it uses less digits than its factorization.

1361212222300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31628 (or 31621 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 1361212222300 its reverse (32222121631), we get a palindrome (1393434343931).

The spelling of 1361212222300 in words is "one trillion, three hundred sixty-one billion, two hundred twelve million, two hundred twenty-two thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 23 25 28 35 46 50 70 92 100 115 140 161 175 230 322 350 460 575 644 700 805 1150 1610 2300 2953 3220 4025 5906 8050 11812 14765 16100 20671 28631 29530 41342 57262 59060 67919 73825 82684 103355 114524 135838 143155 147650 200417 206710 271676 286310 295300 339595 400834 413420 475433 516775 572620 658513 679190 715775 801668 950866 1002085 1033550 1317026 1358380 1431550 1697975 1901732 2004170 2067100 2377165 2634052 2863100 3292565 3395950 4008340 4609591 4754330 5010425 6585130 6791900 9219182 9508660 10020850 11885825 13170260 16462825 18438364 20041700 23047955 23771650 32925650 46095910 47543300 65851300 84547343 92191820 115239775 169094686 230479550 338189372 422736715 460959100 591831401 845473430 1183662802 1690946860 1944588889 2113683575 2367325604 2959157005 3889177778 4227367150 5918314010 7778355556 8454734300 9722944445 11836628020 13612122223 14795785025 19445888890 27224244446 29591570050 38891777780 48614722225 54448488892 59183140100 68060611115 97229444450 136121222230 194458888900 272242444460 340303055575 680606111150 1361212222300