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2134932056310 = 2353159127730469
BaseRepresentation
bin11111000100010011110…
…111011110100011110110
321120002122002022111221010
4133010103313132203312
5234434320101300220
64312435123133050
7310146415026234
oct37042367364366
97502562274833
102134932056310
11753468540909
122a5920514186
13126428198c01
147548cdb1954
153a803d261e0
hex1f113dde8f6

2134932056310 has 128 divisors (see below), whose sum is σ = 5383156838400. Its totient is φ = 541170178560.

The previous prime is 2134932056293. The next prime is 2134932056317. The reversal of 2134932056310 is 136502394312.

It is a super-2 number, since 2×21349320563102 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2134932056317) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 70053756 + ... + 70084224.

It is an arithmetic number, because the mean of its divisors is an integer number (42055912800).

Almost surely, 22134932056310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2134932056310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2691578419200).

2134932056310 is an abundant number, since it is smaller than the sum of its proper divisors (3248224782090).

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

2134932056310 is a wasteful number, since it uses less digits than its factorization.

2134932056310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31846.

The product of its (nonzero) digits is 116640, while the sum is 39.

The spelling of 2134932056310 in words is "two trillion, one hundred thirty-four billion, nine hundred thirty-two million, fifty-six thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 31 59 62 93 118 155 177 186 295 310 354 465 590 885 930 1277 1770 1829 2554 3658 3831 5487 6385 7662 9145 10974 12770 18290 19155 27435 30469 38310 39587 54870 60938 75343 79174 91407 118761 150686 152345 182814 197935 226029 237522 304690 376715 395870 452058 457035 593805 753430 914070 944539 1130145 1187610 1797671 1889078 2260290 2335633 2833617 3595342 4671266 4722695 5393013 5667234 7006899 8988355 9445390 10786026 11678165 14013798 14168085 17976710 23356330 26965065 28336170 35034495 38908913 53930130 55727801 70068990 77817826 111455602 116726739 167183403 194544565 233453478 278639005 334366806 389089130 557278010 583633695 835917015 1167267390 1206176303 1671834030 2295625867 2412352606 3618528909 4591251734 6030881515 6886877601 7237057818 11478129335 12061763030 13773755202 18092644545 22956258670 34434388005 36185289090 68868776010 71164401877 142328803754 213493205631 355822009385 426986411262 711644018770 1067466028155 2134932056310