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2102452542012 = 22319371911304837
BaseRepresentation
bin11110100110000011111…
…011111101101000111100
321102222210112101020101010
4132212003323331220330
5233421310322321022
64245504154315220
7304616506512564
oct36460373755074
97388715336333
102102452542012
11740710716009
1229b577128b10
131233501c7bb4
1473a8b529da4
1539a526bb50c
hex1e983efda3c

2102452542012 has 96 divisors (see below), whose sum is σ = 5331254906880. Its totient is φ = 642605633280.

The previous prime is 2102452541989. The next prime is 2102452542017.

2102452542012 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102452542017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 958858 + ... + 2263694.

It is an arithmetic number, because the mean of its divisors is an integer number (55533905280).

Almost surely, 22102452542012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2102452542012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2665627453440).

2102452542012 is an abundant number, since it is smaller than the sum of its proper divisors (3228802364868).

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

2102452542012 is a wasteful number, since it uses less digits than its factorization.

2102452542012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1305091 (or 1305089 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

The spelling of 2102452542012 in words is "two trillion, one hundred two billion, four hundred fifty-two million, five hundred forty-two thousand, twelve".

Divisors: 1 2 3 4 6 12 19 37 38 57 74 76 111 114 148 191 222 228 382 444 573 703 764 1146 1406 2109 2292 2812 3629 4218 7067 7258 8436 10887 14134 14516 21201 21774 28268 42402 43548 84804 134273 268546 402819 537092 805638 1304837 1611276 2609674 3914511 5219348 7829022 15658044 24791903 48278969 49583806 74375709 96557938 99167612 144836907 148751418 193115876 249223867 289673814 297502836 498447734 579347628 747671601 917300411 996895468 1495343202 1834600822 2751901233 2990686404 3669201644 4735253473 5503802466 9221283079 9470506946 11007604932 14205760419 18442566158 18941013892 27663849237 28411520838 36885132316 55327698474 56823041676 110655396948 175204378501 350408757002 525613135503 700817514004 1051226271006 2102452542012