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2040104131000 = 235313712210297
BaseRepresentation
bin11101101011111111101…
…011101001100110111000
321020000212100211210100021
4131223333223221212320
5231411113124143000
64201113315420224
7300251452664545
oct35537753514670
97200770753307
102040104131000
11717226662001
1228b4768b4674
1311a4c50757c0
1470a54c05bcc
1538103bd311a
hex1daffae99b8

2040104131000 has 128 divisors (see below), whose sum is σ = 5213474098560. Its totient is φ = 742659456000.

The previous prime is 2040104130947. The next prime is 2040104131033. The reversal of 2040104131000 is 1314010402.

It is a super-2 number, since 2×20401041310002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 182149 + ... + 2028148.

It is an arithmetic number, because the mean of its divisors is an integer number (40730266395).

Almost surely, 22040104131000 is an apocalyptic number.

2040104131000 is a gapful number since it is divisible by the number (20) 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 2040104131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2606737049280).

2040104131000 is an abundant number, since it is smaller than the sum of its proper divisors (3173369967560).

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

2040104131000 is a wasteful number, since it uses less digits than its factorization.

2040104131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2210402 (or 2210388 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 2040104131000 its reverse (1314010402), we get a palindrome (2041418141402).

The spelling of 2040104131000 in words is "two trillion, forty billion, one hundred four million, one hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 71 100 104 125 130 142 200 250 260 284 325 355 500 520 568 650 710 923 1000 1300 1420 1625 1775 1846 2600 2840 3250 3550 3692 4615 6500 7100 7384 8875 9230 13000 14200 17750 18460 23075 35500 36920 46150 71000 92300 115375 184600 230750 461500 923000 2210297 4420594 8841188 11051485 17682376 22102970 28733861 44205940 55257425 57467722 88411880 110514850 114935444 143669305 156931087 221029700 229870888 276287125 287338610 313862174 442059400 552574250 574677220 627724348 718346525 784655435 1105148500 1149354440 1255448696 1436693050 1569310870 2040104131 2210297000 2873386100 3138621740 3591732625 3923277175 4080208262 5746772200 6277243480 7183465250 7846554350 8160416524 10200520655 14366930500 15693108700 16320833048 19616385875 20401041310 28733861000 31386217400 39232771750 40802082620 51002603275 78465543500 81604165240 102005206550 156931087000 204010413100 255013016375 408020826200 510026032750 1020052065500 2040104131000