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1330204401700 = 2252292108714551
BaseRepresentation
bin10011010110110110010…
…111000110000000100100
311201011111020021001000121
4103112312113012000210
5133243224311323300
62455030520451324
7165050463566506
oct23266627060044
94634436231017
101330204401700
11473155785249
12195976919b44
139858c928195
144854cbddd76
152490597781a
hex135b65c6024

1330204401700 has 108 divisors (see below), whose sum is σ = 2992467692032. Its totient is φ = 513226224000.

The previous prime is 1330204401661. The next prime is 1330204401709. The reversal of 1330204401700 is 71044020331.

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

It is not an unprimeable number, because it can be changed into a prime (1330204401709) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 91409425 + ... + 91423975.

Almost surely, 21330204401700 is an apocalyptic number.

1330204401700 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 1330204401700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1496233846016).

1330204401700 is an abundant number, since it is smaller than the sum of its proper divisors (1662263290332).

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

1330204401700 is a wasteful number, since it uses less digits than its factorization.

1330204401700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15710 (or 15674 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The spelling of 1330204401700 in words is "one trillion, three hundred thirty billion, two hundred four million, four hundred one thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 841 1087 1450 1682 2174 2900 3364 4205 4348 5435 8410 10870 14551 16820 21025 21740 27175 29102 31523 42050 54350 58204 63046 72755 84100 108700 126092 145510 157615 291020 315230 363775 421979 630460 727550 788075 843958 914167 1455100 1576150 1687916 1828334 2109895 3152300 3656668 4219790 4570835 8439580 9141670 10549475 12237391 15816937 18283340 21098950 22854175 24474782 31633874 42197900 45708350 48949564 61186955 63267748 79084685 91416700 122373910 158169370 244747820 305934775 316338740 395423425 458691173 611869550 790846850 917382346 1223739100 1581693700 1834764692 2293455865 4586911730 9173823460 11467279325 13302044017 22934558650 26604088034 45869117300 53208176068 66510220085 133020440170 266040880340 332551100425 665102200850 1330204401700