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1010132212020 = 223553353899863
BaseRepresentation
bin11101011001100001001…
…00100101100100110100
310120120022211222010101220
432230300210211210310
5113022222321241040
62052014234550340
7132660006063531
oct16546044454464
93516284863356
101010132212020
1135a438332838
1214392b2983b0
1374341497579
1436c67d83d88
151b42103d2d0
hexeb30925934

1010132212020 has 96 divisors (see below), whose sum is σ = 2889902437632. Its totient is φ = 263537184768.

The previous prime is 1010132212007. The next prime is 1010132212027. The reversal of 1010132212020 is 202122310101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010132212027) 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, 672609 + ... + 1572471.

It is an arithmetic number, because the mean of its divisors is an integer number (30103150392).

Almost surely, 21010132212020 is an apocalyptic number.

1010132212020 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 1010132212020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1444951218816).

1010132212020 is an abundant number, since it is smaller than the sum of its proper divisors (1879770225612).

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

1010132212020 is a wasteful number, since it uses less digits than its factorization.

1010132212020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900281 (or 900279 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 1010132212020 its reverse (202122310101), we get a palindrome (1212254522121).

The spelling of 1010132212020 in words is "one trillion, ten billion, one hundred thirty-two million, two hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 106 159 212 265 318 353 530 636 706 795 1059 1060 1412 1590 1765 2118 3180 3530 4236 5295 7060 10590 18709 21180 37418 56127 74836 93545 112254 187090 224508 280635 374180 561270 899863 1122540 1799726 2699589 3599452 4499315 5399178 8998630 10798356 13497945 17997260 26995890 47692739 53991780 95385478 143078217 190770956 238463695 286156434 317651639 476927390 572312868 635303278 715391085 952954917 953854780 1270606556 1430782170 1588258195 1905909834 2861564340 3176516390 3811819668 4764774585 6353032780 9529549170 16835536867 19059098340 33671073734 50506610601 67342147468 84177684335 101013221202 168355368670 202026442404 252533053005 336710737340 505066106010 1010132212020